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Finding the Fourth Proportional to 10,456.60, 15,689.40 and 6,077.80

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Solution

The fourth proportional to 10,456.60, 15,689.40 and 6,077.80 is: 9,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.60 : 15,689.40 = 6,077.80 : x
  2. Step 2: Convert to fraction form
    10,456.60/15,689.40 = 6,077.80/x
  3. Step 3: Cross multiply
    10,456.60x = 15,689.40 × 6,077.80
  4. Step 4: Simplify right side
    10,456.60x = 95,357,035.32
  5. Step 5: Solve for x
    x = 95,357,035.32/10,456.60
  6. Step 6: Final answer
    x = 9,119.32

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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.