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Finding the Fourth Proportional to 7,724.80, 10,659.20 and 4,580.16

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Solution

The fourth proportional to 7,724.80, 10,659.20 and 4,580.16 is: 6,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724.80 : 10,659.20 = 4,580.16 : x
  2. Step 2: Convert to fraction form
    7,724.80/10,659.20 = 4,580.16/x
  3. Step 3: Cross multiply
    7,724.80x = 10,659.20 × 4,580.16
  4. Step 4: Simplify right side
    7,724.80x = 48,820,841.47
  5. Step 5: Solve for x
    x = 48,820,841.47/7,724.80
  6. Step 6: Final answer
    x = 6,320.01

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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.