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Finding the Fourth Proportional to 8,702.42, 12,007.32 and 5,875.04

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Solution

The fourth proportional to 8,702.42, 12,007.32 and 5,875.04 is: 8,106.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.42 : 12,007.32 = 5,875.04 : x
  2. Step 2: Convert to fraction form
    8,702.42/12,007.32 = 5,875.04/x
  3. Step 3: Cross multiply
    8,702.42x = 12,007.32 × 5,875.04
  4. Step 4: Simplify right side
    8,702.42x = 70,543,425.26
  5. Step 5: Solve for x
    x = 70,543,425.26/8,702.42
  6. Step 6: Final answer
    x = 8,106.19

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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.