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Finding the Fourth Proportional to 10,191.52, 14,065.04 and 5,654.42

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Solution

The fourth proportional to 10,191.52, 14,065.04 and 5,654.42 is: 7,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.52 : 14,065.04 = 5,654.42 : x
  2. Step 2: Convert to fraction form
    10,191.52/14,065.04 = 5,654.42/x
  3. Step 3: Cross multiply
    10,191.52x = 14,065.04 × 5,654.42
  4. Step 4: Simplify right side
    10,191.52x = 79,529,719.15
  5. Step 5: Solve for x
    x = 79,529,719.15/10,191.52
  6. Step 6: Final answer
    x = 7,803.52

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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.