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Finding the Fourth Proportional to 7,459.82, 10,294.80 and 4,102.88

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Solution

The fourth proportional to 7,459.82, 10,294.80 and 4,102.88 is: 5,662.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.82 : 10,294.80 = 4,102.88 : x
  2. Step 2: Convert to fraction form
    7,459.82/10,294.80 = 4,102.88/x
  3. Step 3: Cross multiply
    7,459.82x = 10,294.80 × 4,102.88
  4. Step 4: Simplify right side
    7,459.82x = 42,238,329.02
  5. Step 5: Solve for x
    x = 42,238,329.02/7,459.82
  6. Step 6: Final answer
    x = 5,662.11

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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.