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Finding the Fourth Proportional to 11,341.92, 15,646.78 and 6,624.12

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Solution

The fourth proportional to 11,341.92, 15,646.78 and 6,624.12 is: 9,138.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,341.92 : 15,646.78 = 6,624.12 : x
  2. Step 2: Convert to fraction form
    11,341.92/15,646.78 = 6,624.12/x
  3. Step 3: Cross multiply
    11,341.92x = 15,646.78 × 6,624.12
  4. Step 4: Simplify right side
    11,341.92x = 103,646,148.33
  5. Step 5: Solve for x
    x = 103,646,148.33/11,341.92
  6. Step 6: Final answer
    x = 9,138.32

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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.