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Finding the Fourth Proportional to 10,251.94, 14,148.74 and 6,275.70

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Solution

The fourth proportional to 10,251.94, 14,148.74 and 6,275.70 is: 8,661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.94 : 14,148.74 = 6,275.70 : x
  2. Step 2: Convert to fraction form
    10,251.94/14,148.74 = 6,275.70/x
  3. Step 3: Cross multiply
    10,251.94x = 14,148.74 × 6,275.70
  4. Step 4: Simplify right side
    10,251.94x = 88,793,263.31
  5. Step 5: Solve for x
    x = 88,793,263.31/10,251.94
  6. Step 6: Final answer
    x = 8,661.12

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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.