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Finding the Fourth Proportional to 11,508.69, 15,875.82 and 7,731.66

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Solution

The fourth proportional to 11,508.69, 15,875.82 and 7,731.66 is: 10,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,508.69 : 15,875.82 = 7,731.66 : x
  2. Step 2: Convert to fraction form
    11,508.69/15,875.82 = 7,731.66/x
  3. Step 3: Cross multiply
    11,508.69x = 15,875.82 × 7,731.66
  4. Step 4: Simplify right side
    11,508.69x = 122,746,442.46
  5. Step 5: Solve for x
    x = 122,746,442.46/11,508.69
  6. Step 6: Final answer
    x = 10,665.54

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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.