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Finding the Fourth Proportional to 11,151.76, 15,387.68 and 6,435.14

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Solution

The fourth proportional to 11,151.76, 15,387.68 and 6,435.14 is: 8,879.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,151.76 : 15,387.68 = 6,435.14 : x
  2. Step 2: Convert to fraction form
    11,151.76/15,387.68 = 6,435.14/x
  3. Step 3: Cross multiply
    11,151.76x = 15,387.68 × 6,435.14
  4. Step 4: Simplify right side
    11,151.76x = 99,021,875.08
  5. Step 5: Solve for x
    x = 99,021,875.08/11,151.76
  6. Step 6: Final answer
    x = 8,879.48

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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.