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Finding the Fourth Proportional to 11,447.66, 15,807.56 and 8,610.13

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Solution

The fourth proportional to 11,447.66, 15,807.56 and 8,610.13 is: 11,889.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,447.66 : 15,807.56 = 8,610.13 : x
  2. Step 2: Convert to fraction form
    11,447.66/15,807.56 = 8,610.13/x
  3. Step 3: Cross multiply
    11,447.66x = 15,807.56 × 8,610.13
  4. Step 4: Simplify right side
    11,447.66x = 136,105,123.29
  5. Step 5: Solve for x
    x = 136,105,123.29/11,447.66
  6. Step 6: Final answer
    x = 11,889.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.