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Finding the Fourth Proportional to 10,498.93, 15,744.72 and 3,101.42

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Solution

The fourth proportional to 10,498.93, 15,744.72 and 3,101.42 is: 4,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.93 : 15,744.72 = 3,101.42 : x
  2. Step 2: Convert to fraction form
    10,498.93/15,744.72 = 3,101.42/x
  3. Step 3: Cross multiply
    10,498.93x = 15,744.72 × 3,101.42
  4. Step 4: Simplify right side
    10,498.93x = 48,830,989.50
  5. Step 5: Solve for x
    x = 48,830,989.50/10,498.93
  6. Step 6: Final answer
    x = 4,651.05

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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.