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Finding the Fourth Proportional to 10,446.26, 15,651.15 and 8,702.46

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Solution

The fourth proportional to 10,446.26, 15,651.15 and 8,702.46 is: 13,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.26 : 15,651.15 = 8,702.46 : x
  2. Step 2: Convert to fraction form
    10,446.26/15,651.15 = 8,702.46/x
  3. Step 3: Cross multiply
    10,446.26x = 15,651.15 × 8,702.46
  4. Step 4: Simplify right side
    10,446.26x = 136,203,506.83
  5. Step 5: Solve for x
    x = 136,203,506.83/10,446.26
  6. Step 6: Final answer
    x = 13,038.50

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Why These Related Problems?

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