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Finding the Fourth Proportional to 7,925.68, 10,905.92 and 7,685.20

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Solution

The fourth proportional to 7,925.68, 10,905.92 and 7,685.20 is: 10,575.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,925.68 : 10,905.92 = 7,685.20 : x
  2. Step 2: Convert to fraction form
    7,925.68/10,905.92 = 7,685.20/x
  3. Step 3: Cross multiply
    7,925.68x = 10,905.92 × 7,685.20
  4. Step 4: Simplify right side
    7,925.68x = 83,814,176.38
  5. Step 5: Solve for x
    x = 83,814,176.38/7,925.68
  6. Step 6: Final answer
    x = 10,575.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.