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Finding the Fourth Proportional to 7,728.45, 10,657.40 and 6,613.08

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Solution

The fourth proportional to 7,728.45, 10,657.40 and 6,613.08 is: 9,119.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,728.45 : 10,657.40 = 6,613.08 : x
  2. Step 2: Convert to fraction form
    7,728.45/10,657.40 = 6,613.08/x
  3. Step 3: Cross multiply
    7,728.45x = 10,657.40 × 6,613.08
  4. Step 4: Simplify right side
    7,728.45x = 70,478,238.79
  5. Step 5: Solve for x
    x = 70,478,238.79/7,728.45
  6. Step 6: Final answer
    x = 9,119.32

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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.