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Finding the Fourth Proportional to 10,442.58, 15,665.67 and 5,516.34

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Solution

The fourth proportional to 10,442.58, 15,665.67 and 5,516.34 is: 8,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.58 : 15,665.67 = 5,516.34 : x
  2. Step 2: Convert to fraction form
    10,442.58/15,665.67 = 5,516.34/x
  3. Step 3: Cross multiply
    10,442.58x = 15,665.67 × 5,516.34
  4. Step 4: Simplify right side
    10,442.58x = 86,417,162.05
  5. Step 5: Solve for x
    x = 86,417,162.05/10,442.58
  6. Step 6: Final answer
    x = 8,275.46

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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.