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Finding the Fourth Proportional to 11,197.50, 15,465.52 and 7,654.56

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Solution

The fourth proportional to 11,197.50, 15,465.52 and 7,654.56 is: 10,572.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,197.50 : 15,465.52 = 7,654.56 : x
  2. Step 2: Convert to fraction form
    11,197.50/15,465.52 = 7,654.56/x
  3. Step 3: Cross multiply
    11,197.50x = 15,465.52 × 7,654.56
  4. Step 4: Simplify right side
    11,197.50x = 118,381,750.77
  5. Step 5: Solve for x
    x = 118,381,750.77/11,197.50
  6. Step 6: Final answer
    x = 10,572.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.