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Finding the Fourth Proportional to 10,456.92, 15,686.34 and 4,216.68

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Solution

The fourth proportional to 10,456.92, 15,686.34 and 4,216.68 is: 6,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,456.92 : 15,686.34 = 4,216.68 : x
  2. Step 2: Convert to fraction form
    10,456.92/15,686.34 = 4,216.68/x
  3. Step 3: Cross multiply
    10,456.92x = 15,686.34 × 4,216.68
  4. Step 4: Simplify right side
    10,456.92x = 66,144,276.15
  5. Step 5: Solve for x
    x = 66,144,276.15/10,456.92
  6. Step 6: Final answer
    x = 6,325.41

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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.