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Finding the Fourth Proportional to 10,216.88, 14,098.98 and 5,740.52

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Solution

The fourth proportional to 10,216.88, 14,098.98 and 5,740.52 is: 7,921.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.88 : 14,098.98 = 5,740.52 : x
  2. Step 2: Convert to fraction form
    10,216.88/14,098.98 = 5,740.52/x
  3. Step 3: Cross multiply
    10,216.88x = 14,098.98 × 5,740.52
  4. Step 4: Simplify right side
    10,216.88x = 80,935,476.67
  5. Step 5: Solve for x
    x = 80,935,476.67/10,216.88
  6. Step 6: Final answer
    x = 7,921.74

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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.