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Finding the Fourth Proportional to 7,291.46, 10,937.10 and 2,097.38

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Solution

The fourth proportional to 7,291.46, 10,937.10 and 2,097.38 is: 3,146.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.46 : 10,937.10 = 2,097.38 : x
  2. Step 2: Convert to fraction form
    7,291.46/10,937.10 = 2,097.38/x
  3. Step 3: Cross multiply
    7,291.46x = 10,937.10 × 2,097.38
  4. Step 4: Simplify right side
    7,291.46x = 22,939,254.80
  5. Step 5: Solve for x
    x = 22,939,254.80/7,291.46
  6. Step 6: Final answer
    x = 3,146.04

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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.