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Finding the Fourth Proportional to 8,702.34, 11,996.60 and 5,712.95

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Solution

The fourth proportional to 8,702.34, 11,996.60 and 5,712.95 is: 7,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.34 : 11,996.60 = 5,712.95 : x
  2. Step 2: Convert to fraction form
    8,702.34/11,996.60 = 5,712.95/x
  3. Step 3: Cross multiply
    8,702.34x = 11,996.60 × 5,712.95
  4. Step 4: Simplify right side
    8,702.34x = 68,535,887.42
  5. Step 5: Solve for x
    x = 68,535,887.42/8,702.34
  6. Step 6: Final answer
    x = 7,875.57

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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.