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Finding the Fourth Proportional to 10,006.02, 14,987.16 and 5,065.02

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Solution

The fourth proportional to 10,006.02, 14,987.16 and 5,065.02 is: 7,586.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.02 : 14,987.16 = 5,065.02 : x
  2. Step 2: Convert to fraction form
    10,006.02/14,987.16 = 5,065.02/x
  3. Step 3: Cross multiply
    10,006.02x = 14,987.16 × 5,065.02
  4. Step 4: Simplify right side
    10,006.02x = 75,910,265.14
  5. Step 5: Solve for x
    x = 75,910,265.14/10,006.02
  6. Step 6: Final answer
    x = 7,586.46

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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.