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Finding the Fourth Proportional to 10,216.59, 14,098.75 and 5,679.10

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Solution

The fourth proportional to 10,216.59, 14,098.75 and 5,679.10 is: 7,837.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,216.59 : 14,098.75 = 5,679.10 : x
  2. Step 2: Convert to fraction form
    10,216.59/14,098.75 = 5,679.10/x
  3. Step 3: Cross multiply
    10,216.59x = 14,098.75 × 5,679.10
  4. Step 4: Simplify right side
    10,216.59x = 80,068,211.13
  5. Step 5: Solve for x
    x = 80,068,211.13/10,216.59
  6. Step 6: Final answer
    x = 7,837.08

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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.