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Finding the Fourth Proportional to 8,542.35, 12,802.59 and 6,590.43

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Solution

The fourth proportional to 8,542.35, 12,802.59 and 6,590.43 is: 9,877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.35 : 12,802.59 = 6,590.43 : x
  2. Step 2: Convert to fraction form
    8,542.35/12,802.59 = 6,590.43/x
  3. Step 3: Cross multiply
    8,542.35x = 12,802.59 × 6,590.43
  4. Step 4: Simplify right side
    8,542.35x = 84,374,573.21
  5. Step 5: Solve for x
    x = 84,374,573.21/8,542.35
  6. Step 6: Final answer
    x = 9,877.21

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