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Finding the Fourth Proportional to 10,545.98, 15,786.14 and 6,642.18

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Solution

The fourth proportional to 10,545.98, 15,786.14 and 6,642.18 is: 9,942.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,545.98 : 15,786.14 = 6,642.18 : x
  2. Step 2: Convert to fraction form
    10,545.98/15,786.14 = 6,642.18/x
  3. Step 3: Cross multiply
    10,545.98x = 15,786.14 × 6,642.18
  4. Step 4: Simplify right side
    10,545.98x = 104,854,383.39
  5. Step 5: Solve for x
    x = 104,854,383.39/10,545.98
  6. Step 6: Final answer
    x = 9,942.59

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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.