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Finding the Fourth Proportional to 7,732.56, 10,670.88 and 4,589.28

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Solution

The fourth proportional to 7,732.56, 10,670.88 and 4,589.28 is: 6,333.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.56 : 10,670.88 = 4,589.28 : x
  2. Step 2: Convert to fraction form
    7,732.56/10,670.88 = 4,589.28/x
  3. Step 3: Cross multiply
    7,732.56x = 10,670.88 × 4,589.28
  4. Step 4: Simplify right side
    7,732.56x = 48,971,656.17
  5. Step 5: Solve for x
    x = 48,971,656.17/7,732.56
  6. Step 6: Final answer
    x = 6,333.18

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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.