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Finding the Fourth Proportional to 7,088.68, 10,652.46 and 6,686.11

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Solution

The fourth proportional to 7,088.68, 10,652.46 and 6,686.11 is: 10,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,088.68 : 10,652.46 = 6,686.11 : x
  2. Step 2: Convert to fraction form
    7,088.68/10,652.46 = 6,686.11/x
  3. Step 3: Cross multiply
    7,088.68x = 10,652.46 × 6,686.11
  4. Step 4: Simplify right side
    7,088.68x = 71,223,519.33
  5. Step 5: Solve for x
    x = 71,223,519.33/7,088.68
  6. Step 6: Final answer
    x = 10,047.50

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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.