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Finding the Fourth Proportional to 7,713.34, 11,560.73 and 3,547.61

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Solution

The fourth proportional to 7,713.34, 11,560.73 and 3,547.61 is: 5,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713.34 : 11,560.73 = 3,547.61 : x
  2. Step 2: Convert to fraction form
    7,713.34/11,560.73 = 3,547.61/x
  3. Step 3: Cross multiply
    7,713.34x = 11,560.73 × 3,547.61
  4. Step 4: Simplify right side
    7,713.34x = 41,012,912.42
  5. Step 5: Solve for x
    x = 41,012,912.42/7,713.34
  6. Step 6: Final answer
    x = 5,317.14

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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.