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Finding the Fourth Proportional to 7,176.57, 10,767.62 and 2,497.08

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Solution

The fourth proportional to 7,176.57, 10,767.62 and 2,497.08 is: 3,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.57 : 10,767.62 = 2,497.08 : x
  2. Step 2: Convert to fraction form
    7,176.57/10,767.62 = 2,497.08/x
  3. Step 3: Cross multiply
    7,176.57x = 10,767.62 × 2,497.08
  4. Step 4: Simplify right side
    7,176.57x = 26,887,596.06
  5. Step 5: Solve for x
    x = 26,887,596.06/7,176.57
  6. Step 6: Final answer
    x = 3,746.58

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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.