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Finding the Fourth Proportional to 7,452.40, 10,275.88 and 4,760

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Solution

The fourth proportional to 7,452.40, 10,275.88 and 4,760 is: 6,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,452.40 : 10,275.88 = 4,760 : x
  2. Step 2: Convert to fraction form
    7,452.40/10,275.88 = 4,760/x
  3. Step 3: Cross multiply
    7,452.40x = 10,275.88 × 4,760
  4. Step 4: Simplify right side
    7,452.40x = 48,913,188.80
  5. Step 5: Solve for x
    x = 48,913,188.80/7,452.40
  6. Step 6: Final answer
    x = 6,563.41

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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.