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Finding the Fourth Proportional to 10,264.64, 15,397.16 and 4,716.47

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Solution

The fourth proportional to 10,264.64, 15,397.16 and 4,716.47 is: 7,074.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.64 : 15,397.16 = 4,716.47 : x
  2. Step 2: Convert to fraction form
    10,264.64/15,397.16 = 4,716.47/x
  3. Step 3: Cross multiply
    10,264.64x = 15,397.16 × 4,716.47
  4. Step 4: Simplify right side
    10,264.64x = 72,620,142.66
  5. Step 5: Solve for x
    x = 72,620,142.66/10,264.64
  6. Step 6: Final answer
    x = 7,074.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.