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Finding the Fourth Proportional to 7,078.47, 10,616.28 and 6,727.20

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Solution

The fourth proportional to 7,078.47, 10,616.28 and 6,727.20 is: 10,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.47 : 10,616.28 = 6,727.20 : x
  2. Step 2: Convert to fraction form
    7,078.47/10,616.28 = 6,727.20/x
  3. Step 3: Cross multiply
    7,078.47x = 10,616.28 × 6,727.20
  4. Step 4: Simplify right side
    7,078.47x = 71,417,838.82
  5. Step 5: Solve for x
    x = 71,417,838.82/7,078.47
  6. Step 6: Final answer
    x = 10,089.45

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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.