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Finding the Fourth Proportional to 10,430.96, 15,639.96 and 5,497.52

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Solution

The fourth proportional to 10,430.96, 15,639.96 and 5,497.52 is: 8,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.96 : 15,639.96 = 5,497.52 : x
  2. Step 2: Convert to fraction form
    10,430.96/15,639.96 = 5,497.52/x
  3. Step 3: Cross multiply
    10,430.96x = 15,639.96 × 5,497.52
  4. Step 4: Simplify right side
    10,430.96x = 85,980,992.90
  5. Step 5: Solve for x
    x = 85,980,992.90/10,430.96
  6. Step 6: Final answer
    x = 8,242.86

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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.