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Finding the Fourth Proportional to 7,459.52, 10,293.92 and 4,102.33

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Solution

The fourth proportional to 7,459.52, 10,293.92 and 4,102.33 is: 5,661.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.52 : 10,293.92 = 4,102.33 : x
  2. Step 2: Convert to fraction form
    7,459.52/10,293.92 = 4,102.33/x
  3. Step 3: Cross multiply
    7,459.52x = 10,293.92 × 4,102.33
  4. Step 4: Simplify right side
    7,459.52x = 42,229,056.83
  5. Step 5: Solve for x
    x = 42,229,056.83/7,459.52
  6. Step 6: Final answer
    x = 5,661.10

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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.