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Finding the Fourth Proportional to 7,459.87, 10,294.88 and 4,102.94

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Solution

The fourth proportional to 7,459.87, 10,294.88 and 4,102.94 is: 5,662.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.87 : 10,294.88 = 4,102.94 : x
  2. Step 2: Convert to fraction form
    7,459.87/10,294.88 = 4,102.94/x
  3. Step 3: Cross multiply
    7,459.87x = 10,294.88 × 4,102.94
  4. Step 4: Simplify right side
    7,459.87x = 42,239,300.68
  5. Step 5: Solve for x
    x = 42,239,300.68/7,459.87
  6. Step 6: Final answer
    x = 5,662.21

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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.