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Finding the Fourth Proportional to 11,681, 17,501.28 and 7,874.52

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Solution

The fourth proportional to 11,681, 17,501.28 and 7,874.52 is: 11,798.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681 : 17,501.28 = 7,874.52 : x
  2. Step 2: Convert to fraction form
    11,681/17,501.28 = 7,874.52/x
  3. Step 3: Cross multiply
    11,681x = 17,501.28 × 7,874.52
  4. Step 4: Simplify right side
    11,681x = 137,814,179.39
  5. Step 5: Solve for x
    x = 137,814,179.39/11,681
  6. Step 6: Final answer
    x = 11,798.15

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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.