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Finding the Fourth Proportional to 7,875.40, 11,841.90 and 6,608.20

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Solution

The fourth proportional to 7,875.40, 11,841.90 and 6,608.20 is: 9,936.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.40 : 11,841.90 = 6,608.20 : x
  2. Step 2: Convert to fraction form
    7,875.40/11,841.90 = 6,608.20/x
  3. Step 3: Cross multiply
    7,875.40x = 11,841.90 × 6,608.20
  4. Step 4: Simplify right side
    7,875.40x = 78,253,643.58
  5. Step 5: Solve for x
    x = 78,253,643.58/7,875.40
  6. Step 6: Final answer
    x = 9,936.47

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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.