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Finding the Fourth Proportional to 10,527.66, 15,805.24 and 7,040.04

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Solution

The fourth proportional to 10,527.66, 15,805.24 and 7,040.04 is: 10,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.66 : 15,805.24 = 7,040.04 : x
  2. Step 2: Convert to fraction form
    10,527.66/15,805.24 = 7,040.04/x
  3. Step 3: Cross multiply
    10,527.66x = 15,805.24 × 7,040.04
  4. Step 4: Simplify right side
    10,527.66x = 111,269,521.81
  5. Step 5: Solve for x
    x = 111,269,521.81/10,527.66
  6. Step 6: Final answer
    x = 10,569.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.