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Finding the Fourth Proportional to 7,459.78, 10,294.77 and 4,102.75

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Solution

The fourth proportional to 7,459.78, 10,294.77 and 4,102.75 is: 5,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.78 : 10,294.77 = 4,102.75 : x
  2. Step 2: Convert to fraction form
    7,459.78/10,294.77 = 4,102.75/x
  3. Step 3: Cross multiply
    7,459.78x = 10,294.77 × 4,102.75
  4. Step 4: Simplify right side
    7,459.78x = 42,236,867.62
  5. Step 5: Solve for x
    x = 42,236,867.62/7,459.78
  6. Step 6: Final answer
    x = 5,661.95

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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.