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Finding the Fourth Proportional to 10,291.95, 14,203.14 and 6,310.70

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Solution

The fourth proportional to 10,291.95, 14,203.14 and 6,310.70 is: 8,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.95 : 14,203.14 = 6,310.70 : x
  2. Step 2: Convert to fraction form
    10,291.95/14,203.14 = 6,310.70/x
  3. Step 3: Cross multiply
    10,291.95x = 14,203.14 × 6,310.70
  4. Step 4: Simplify right side
    10,291.95x = 89,631,684.58
  5. Step 5: Solve for x
    x = 89,631,684.58/10,291.95
  6. Step 6: Final answer
    x = 8,708.91

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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.