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Finding the Fourth Proportional to 11,102.52, 16,653.66 and 7,411.92

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Solution

The fourth proportional to 11,102.52, 16,653.66 and 7,411.92 is: 11,117.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.52 : 16,653.66 = 7,411.92 : x
  2. Step 2: Convert to fraction form
    11,102.52/16,653.66 = 7,411.92/x
  3. Step 3: Cross multiply
    11,102.52x = 16,653.66 × 7,411.92
  4. Step 4: Simplify right side
    11,102.52x = 123,435,595.63
  5. Step 5: Solve for x
    x = 123,435,595.63/11,102.52
  6. Step 6: Final answer
    x = 11,117.80

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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.