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Finding the Fourth Proportional to 7,725.54, 11,566.38 and 6,478.94

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Solution

The fourth proportional to 7,725.54, 11,566.38 and 6,478.94 is: 9,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,725.54 : 11,566.38 = 6,478.94 : x
  2. Step 2: Convert to fraction form
    7,725.54/11,566.38 = 6,478.94/x
  3. Step 3: Cross multiply
    7,725.54x = 11,566.38 × 6,478.94
  4. Step 4: Simplify right side
    7,725.54x = 74,937,882.04
  5. Step 5: Solve for x
    x = 74,937,882.04/7,725.54
  6. Step 6: Final answer
    x = 9,700.02

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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.