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Finding the Fourth Proportional to 7,123.86, 10,686.72 and 3,175.14

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Solution

The fourth proportional to 7,123.86, 10,686.72 and 3,175.14 is: 4,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.86 : 10,686.72 = 3,175.14 : x
  2. Step 2: Convert to fraction form
    7,123.86/10,686.72 = 3,175.14/x
  3. Step 3: Cross multiply
    7,123.86x = 10,686.72 × 3,175.14
  4. Step 4: Simplify right side
    7,123.86x = 33,931,832.14
  5. Step 5: Solve for x
    x = 33,931,832.14/7,123.86
  6. Step 6: Final answer
    x = 4,763.12

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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.