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Finding the Fourth Proportional to 10,527.11, 15,802.02 and 9,364.53

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Solution

The fourth proportional to 10,527.11, 15,802.02 and 9,364.53 is: 14,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.11 : 15,802.02 = 9,364.53 : x
  2. Step 2: Convert to fraction form
    10,527.11/15,802.02 = 9,364.53/x
  3. Step 3: Cross multiply
    10,527.11x = 15,802.02 × 9,364.53
  4. Step 4: Simplify right side
    10,527.11x = 147,978,490.35
  5. Step 5: Solve for x
    x = 147,978,490.35/10,527.11
  6. Step 6: Final answer
    x = 14,056.90

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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.