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Finding the Fourth Proportional to 7,732.89, 10,672.91 and 4,547.24

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Solution

The fourth proportional to 7,732.89, 10,672.91 and 4,547.24 is: 6,276.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.89 : 10,672.91 = 4,547.24 : x
  2. Step 2: Convert to fraction form
    7,732.89/10,672.91 = 4,547.24/x
  3. Step 3: Cross multiply
    7,732.89x = 10,672.91 × 4,547.24
  4. Step 4: Simplify right side
    7,732.89x = 48,532,289.82
  5. Step 5: Solve for x
    x = 48,532,289.82/7,732.89
  6. Step 6: Final answer
    x = 6,276.08

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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.