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Finding the Fourth Proportional to 10,580.28, 15,870.06 and 5,036.28

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Solution

The fourth proportional to 10,580.28, 15,870.06 and 5,036.28 is: 7,554.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.28 : 15,870.06 = 5,036.28 : x
  2. Step 2: Convert to fraction form
    10,580.28/15,870.06 = 5,036.28/x
  3. Step 3: Cross multiply
    10,580.28x = 15,870.06 × 5,036.28
  4. Step 4: Simplify right side
    10,580.28x = 79,926,065.78
  5. Step 5: Solve for x
    x = 79,926,065.78/10,580.28
  6. Step 6: Final answer
    x = 7,554.25

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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.