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Finding the Fourth Proportional to 10,442.51, 15,662.14 and 3,046.20

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Solution

The fourth proportional to 10,442.51, 15,662.14 and 3,046.20 is: 4,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.51 : 15,662.14 = 3,046.20 : x
  2. Step 2: Convert to fraction form
    10,442.51/15,662.14 = 3,046.20/x
  3. Step 3: Cross multiply
    10,442.51x = 15,662.14 × 3,046.20
  4. Step 4: Simplify right side
    10,442.51x = 47,710,010.87
  5. Step 5: Solve for x
    x = 47,710,010.87/10,442.51
  6. Step 6: Final answer
    x = 4,568.83

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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.