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Finding the Fourth Proportional to 10,442.32, 15,662.56 and 3,046.80

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Solution

The fourth proportional to 10,442.32, 15,662.56 and 3,046.80 is: 4,569.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.32 : 15,662.56 = 3,046.80 : x
  2. Step 2: Convert to fraction form
    10,442.32/15,662.56 = 3,046.80/x
  3. Step 3: Cross multiply
    10,442.32x = 15,662.56 × 3,046.80
  4. Step 4: Simplify right side
    10,442.32x = 47,720,687.81
  5. Step 5: Solve for x
    x = 47,720,687.81/10,442.32
  6. Step 6: Final answer
    x = 4,569.93

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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.