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Finding the Fourth Proportional to 10,620.92, 14,652.66 and 6,143.84

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Solution

The fourth proportional to 10,620.92, 14,652.66 and 6,143.84 is: 8,476.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.92 : 14,652.66 = 6,143.84 : x
  2. Step 2: Convert to fraction form
    10,620.92/14,652.66 = 6,143.84/x
  3. Step 3: Cross multiply
    10,620.92x = 14,652.66 × 6,143.84
  4. Step 4: Simplify right side
    10,620.92x = 90,023,598.61
  5. Step 5: Solve for x
    x = 90,023,598.61/10,620.92
  6. Step 6: Final answer
    x = 8,476.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.