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Finding the Fourth Proportional to 10,339.83, 14,260.59 and 6,353.82

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Solution

The fourth proportional to 10,339.83, 14,260.59 and 6,353.82 is: 8,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.83 : 14,260.59 = 6,353.82 : x
  2. Step 2: Convert to fraction form
    10,339.83/14,260.59 = 6,353.82/x
  3. Step 3: Cross multiply
    10,339.83x = 14,260.59 × 6,353.82
  4. Step 4: Simplify right side
    10,339.83x = 90,609,221.95
  5. Step 5: Solve for x
    x = 90,609,221.95/10,339.83
  6. Step 6: Final answer
    x = 8,763.12

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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.