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Finding the Fourth Proportional to 10,298.90, 14,211.90 and 6,049.31

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Solution

The fourth proportional to 10,298.90, 14,211.90 and 6,049.31 is: 8,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.90 : 14,211.90 = 6,049.31 : x
  2. Step 2: Convert to fraction form
    10,298.90/14,211.90 = 6,049.31/x
  3. Step 3: Cross multiply
    10,298.90x = 14,211.90 × 6,049.31
  4. Step 4: Simplify right side
    10,298.90x = 85,972,117.73
  5. Step 5: Solve for x
    x = 85,972,117.73/10,298.90
  6. Step 6: Final answer
    x = 8,347.70

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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.