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Finding the Fourth Proportional to 10,006.56, 15,014.88 and 6,308.16

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Solution

The fourth proportional to 10,006.56, 15,014.88 and 6,308.16 is: 9,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.56 : 15,014.88 = 6,308.16 : x
  2. Step 2: Convert to fraction form
    10,006.56/15,014.88 = 6,308.16/x
  3. Step 3: Cross multiply
    10,006.56x = 15,014.88 × 6,308.16
  4. Step 4: Simplify right side
    10,006.56x = 94,716,265.42
  5. Step 5: Solve for x
    x = 94,716,265.42/10,006.56
  6. Step 6: Final answer
    x = 9,465.42

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