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Finding the Fourth Proportional to 10,441.76, 15,658.88 and 3,044.74

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Solution

The fourth proportional to 10,441.76, 15,658.88 and 3,044.74 is: 4,566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.76 : 15,658.88 = 3,044.74 : x
  2. Step 2: Convert to fraction form
    10,441.76/15,658.88 = 3,044.74/x
  3. Step 3: Cross multiply
    10,441.76x = 15,658.88 × 3,044.74
  4. Step 4: Simplify right side
    10,441.76x = 47,677,218.29
  5. Step 5: Solve for x
    x = 47,677,218.29/10,441.76
  6. Step 6: Final answer
    x = 4,566.01

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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.