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Finding the Fourth Proportional to 10,470.20, 15,703.65 and 8,702.61

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Solution

The fourth proportional to 10,470.20, 15,703.65 and 8,702.61 is: 13,052.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.20 : 15,703.65 = 8,702.61 : x
  2. Step 2: Convert to fraction form
    10,470.20/15,703.65 = 8,702.61/x
  3. Step 3: Cross multiply
    10,470.20x = 15,703.65 × 8,702.61
  4. Step 4: Simplify right side
    10,470.20x = 136,662,741.53
  5. Step 5: Solve for x
    x = 136,662,741.53/10,470.20
  6. Step 6: Final answer
    x = 13,052.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.