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Finding the Fourth Proportional to 8,821.60, 13,232.40 and 6,875.26

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Solution

The fourth proportional to 8,821.60, 13,232.40 and 6,875.26 is: 10,312.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.60 : 13,232.40 = 6,875.26 : x
  2. Step 2: Convert to fraction form
    8,821.60/13,232.40 = 6,875.26/x
  3. Step 3: Cross multiply
    8,821.60x = 13,232.40 × 6,875.26
  4. Step 4: Simplify right side
    8,821.60x = 90,976,190.42
  5. Step 5: Solve for x
    x = 90,976,190.42/8,821.60
  6. Step 6: Final answer
    x = 10,312.89

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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.