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Finding the Fourth Proportional to 7,459.88, 10,293.92 and 4,102.64

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Solution

The fourth proportional to 7,459.88, 10,293.92 and 4,102.64 is: 5,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,459.88 : 10,293.92 = 4,102.64 : x
  2. Step 2: Convert to fraction form
    7,459.88/10,293.92 = 4,102.64/x
  3. Step 3: Cross multiply
    7,459.88x = 10,293.92 × 4,102.64
  4. Step 4: Simplify right side
    7,459.88x = 42,232,247.95
  5. Step 5: Solve for x
    x = 42,232,247.95/7,459.88
  6. Step 6: Final answer
    x = 5,661.25

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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.