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Finding the Fourth Proportional to 8,702.84, 12,011.40 and 5,166.24

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Solution

The fourth proportional to 8,702.84, 12,011.40 and 5,166.24 is: 7,130.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.84 : 12,011.40 = 5,166.24 : x
  2. Step 2: Convert to fraction form
    8,702.84/12,011.40 = 5,166.24/x
  3. Step 3: Cross multiply
    8,702.84x = 12,011.40 × 5,166.24
  4. Step 4: Simplify right side
    8,702.84x = 62,053,775.14
  5. Step 5: Solve for x
    x = 62,053,775.14/8,702.84
  6. Step 6: Final answer
    x = 7,130.29

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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.