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Finding the Fourth Proportional to 6,957.60, 10,437.77 and 2,575.10

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Solution

The fourth proportional to 6,957.60, 10,437.77 and 2,575.10 is: 3,863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.60 : 10,437.77 = 2,575.10 : x
  2. Step 2: Convert to fraction form
    6,957.60/10,437.77 = 2,575.10/x
  3. Step 3: Cross multiply
    6,957.60x = 10,437.77 × 2,575.10
  4. Step 4: Simplify right side
    6,957.60x = 26,878,294.92
  5. Step 5: Solve for x
    x = 26,878,294.92/6,957.60
  6. Step 6: Final answer
    x = 3,863.15

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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.