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Finding the Fourth Proportional to 10,442.56, 15,661.70 and 4,894.42

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Solution

The fourth proportional to 10,442.56, 15,661.70 and 4,894.42 is: 7,340.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.56 : 15,661.70 = 4,894.42 : x
  2. Step 2: Convert to fraction form
    10,442.56/15,661.70 = 4,894.42/x
  3. Step 3: Cross multiply
    10,442.56x = 15,661.70 × 4,894.42
  4. Step 4: Simplify right side
    10,442.56x = 76,654,937.71
  5. Step 5: Solve for x
    x = 76,654,937.71/10,442.56
  6. Step 6: Final answer
    x = 7,340.63

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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.