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Finding the Fourth Proportional to 10,518.18, 15,788.22 and 7,747.98

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Solution

The fourth proportional to 10,518.18, 15,788.22 and 7,747.98 is: 11,630.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,518.18 : 15,788.22 = 7,747.98 : x
  2. Step 2: Convert to fraction form
    10,518.18/15,788.22 = 7,747.98/x
  3. Step 3: Cross multiply
    10,518.18x = 15,788.22 × 7,747.98
  4. Step 4: Simplify right side
    10,518.18x = 122,326,812.80
  5. Step 5: Solve for x
    x = 122,326,812.80/10,518.18
  6. Step 6: Final answer
    x = 11,630.04

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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.