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Finding the Fourth Proportional to 7,752.10, 10,679.80 and 5,390.14

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Solution

The fourth proportional to 7,752.10, 10,679.80 and 5,390.14 is: 7,425.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.10 : 10,679.80 = 5,390.14 : x
  2. Step 2: Convert to fraction form
    7,752.10/10,679.80 = 5,390.14/x
  3. Step 3: Cross multiply
    7,752.10x = 10,679.80 × 5,390.14
  4. Step 4: Simplify right side
    7,752.10x = 57,565,617.17
  5. Step 5: Solve for x
    x = 57,565,617.17/7,752.10
  6. Step 6: Final answer
    x = 7,425.81

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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.