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Finding the Fourth Proportional to 7,728.65, 10,657.50 and 6,613.28

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Solution

The fourth proportional to 7,728.65, 10,657.50 and 6,613.28 is: 9,119.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.65 : 10,657.50 = 6,613.28 : x
  2. Step 2: Convert to fraction form
    7,728.65/10,657.50 = 6,613.28/x
  3. Step 3: Cross multiply
    7,728.65x = 10,657.50 × 6,613.28
  4. Step 4: Simplify right side
    7,728.65x = 70,480,978.31
  5. Step 5: Solve for x
    x = 70,480,978.31/7,728.65
  6. Step 6: Final answer
    x = 9,119.45

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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.