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Finding the Fourth Proportional to 10,271.75, 15,410.18 and 5,590.49

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Solution

The fourth proportional to 10,271.75, 15,410.18 and 5,590.49 is: 8,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.75 : 15,410.18 = 5,590.49 : x
  2. Step 2: Convert to fraction form
    10,271.75/15,410.18 = 5,590.49/x
  3. Step 3: Cross multiply
    10,271.75x = 15,410.18 × 5,590.49
  4. Step 4: Simplify right side
    10,271.75x = 86,150,394.11
  5. Step 5: Solve for x
    x = 86,150,394.11/10,271.75
  6. Step 6: Final answer
    x = 8,387.12

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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.