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Finding the Fourth Proportional to 7,459.79, 10,294.55 and 4,102.82

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Solution

The fourth proportional to 7,459.79, 10,294.55 and 4,102.82 is: 5,661.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.79 : 10,294.55 = 4,102.82 : x
  2. Step 2: Convert to fraction form
    7,459.79/10,294.55 = 4,102.82/x
  3. Step 3: Cross multiply
    7,459.79x = 10,294.55 × 4,102.82
  4. Step 4: Simplify right side
    7,459.79x = 42,236,613.64
  5. Step 5: Solve for x
    x = 42,236,613.64/7,459.79
  6. Step 6: Final answer
    x = 5,661.91

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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.