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Finding the Fourth Proportional to 10,006.56, 15,000.12 and 6,494.40

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Solution

The fourth proportional to 10,006.56, 15,000.12 and 6,494.40 is: 9,735.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.56 : 15,000.12 = 6,494.40 : x
  2. Step 2: Convert to fraction form
    10,006.56/15,000.12 = 6,494.40/x
  3. Step 3: Cross multiply
    10,006.56x = 15,000.12 × 6,494.40
  4. Step 4: Simplify right side
    10,006.56x = 97,416,779.33
  5. Step 5: Solve for x
    x = 97,416,779.33/10,006.56
  6. Step 6: Final answer
    x = 9,735.29

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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.