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Finding the Fourth Proportional to 11,122.92, 15,349.50 and 6,407.64

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Solution

The fourth proportional to 11,122.92, 15,349.50 and 6,407.64 is: 8,842.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,122.92 : 15,349.50 = 6,407.64 : x
  2. Step 2: Convert to fraction form
    11,122.92/15,349.50 = 6,407.64/x
  3. Step 3: Cross multiply
    11,122.92x = 15,349.50 × 6,407.64
  4. Step 4: Simplify right side
    11,122.92x = 98,354,070.18
  5. Step 5: Solve for x
    x = 98,354,070.18/11,122.92
  6. Step 6: Final answer
    x = 8,842.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.