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Finding the Fourth Proportional to 10,710.60, 16,062.76 and 4,135.24

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Solution

The fourth proportional to 10,710.60, 16,062.76 and 4,135.24 is: 6,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,710.60 : 16,062.76 = 4,135.24 : x
  2. Step 2: Convert to fraction form
    10,710.60/16,062.76 = 4,135.24/x
  3. Step 3: Cross multiply
    10,710.60x = 16,062.76 × 4,135.24
  4. Step 4: Simplify right side
    10,710.60x = 66,423,367.66
  5. Step 5: Solve for x
    x = 66,423,367.66/10,710.60
  6. Step 6: Final answer
    x = 6,201.65

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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.