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Finding the Fourth Proportional to 7,751.42, 10,695.99 and 5,239

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Solution

The fourth proportional to 7,751.42, 10,695.99 and 5,239 is: 7,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.42 : 10,695.99 = 5,239 : x
  2. Step 2: Convert to fraction form
    7,751.42/10,695.99 = 5,239/x
  3. Step 3: Cross multiply
    7,751.42x = 10,695.99 × 5,239
  4. Step 4: Simplify right side
    7,751.42x = 56,036,291.61
  5. Step 5: Solve for x
    x = 56,036,291.61/7,751.42
  6. Step 6: Final answer
    x = 7,229.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.