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Finding the Fourth Proportional to 7,815, 11,725.38 and 4,117.08

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Solution

The fourth proportional to 7,815, 11,725.38 and 4,117.08 is: 6,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815 : 11,725.38 = 4,117.08 : x
  2. Step 2: Convert to fraction form
    7,815/11,725.38 = 4,117.08/x
  3. Step 3: Cross multiply
    7,815x = 11,725.38 × 4,117.08
  4. Step 4: Simplify right side
    7,815x = 48,274,327.49
  5. Step 5: Solve for x
    x = 48,274,327.49/7,815
  6. Step 6: Final answer
    x = 6,177.14

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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.