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Finding the Fourth Proportional to 10,089.41, 15,133.94 and 4,538.82

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Solution

The fourth proportional to 10,089.41, 15,133.94 and 4,538.82 is: 6,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.41 : 15,133.94 = 4,538.82 : x
  2. Step 2: Convert to fraction form
    10,089.41/15,133.94 = 4,538.82/x
  3. Step 3: Cross multiply
    10,089.41x = 15,133.94 × 4,538.82
  4. Step 4: Simplify right side
    10,089.41x = 68,690,306.16
  5. Step 5: Solve for x
    x = 68,690,306.16/10,089.41
  6. Step 6: Final answer
    x = 6,808.16

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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.