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Finding the Fourth Proportional to 7,106.60, 10,655.90 and 2,724.20

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Solution

The fourth proportional to 7,106.60, 10,655.90 and 2,724.20 is: 4,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.60 : 10,655.90 = 2,724.20 : x
  2. Step 2: Convert to fraction form
    7,106.60/10,655.90 = 2,724.20/x
  3. Step 3: Cross multiply
    7,106.60x = 10,655.90 × 2,724.20
  4. Step 4: Simplify right side
    7,106.60x = 29,028,802.78
  5. Step 5: Solve for x
    x = 29,028,802.78/7,106.60
  6. Step 6: Final answer
    x = 4,084.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.