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Finding the Fourth Proportional to 8,706.31, 13,043.02 and 6,748.93

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Solution

The fourth proportional to 8,706.31, 13,043.02 and 6,748.93 is: 10,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.31 : 13,043.02 = 6,748.93 : x
  2. Step 2: Convert to fraction form
    8,706.31/13,043.02 = 6,748.93/x
  3. Step 3: Cross multiply
    8,706.31x = 13,043.02 × 6,748.93
  4. Step 4: Simplify right side
    8,706.31x = 88,026,428.97
  5. Step 5: Solve for x
    x = 88,026,428.97/8,706.31
  6. Step 6: Final answer
    x = 10,110.65

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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.