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Finding the Fourth Proportional to 7,777.38, 10,732.90 and 4,240.59

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Solution

The fourth proportional to 7,777.38, 10,732.90 and 4,240.59 is: 5,852.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.38 : 10,732.90 = 4,240.59 : x
  2. Step 2: Convert to fraction form
    7,777.38/10,732.90 = 4,240.59/x
  3. Step 3: Cross multiply
    7,777.38x = 10,732.90 × 4,240.59
  4. Step 4: Simplify right side
    7,777.38x = 45,513,828.41
  5. Step 5: Solve for x
    x = 45,513,828.41/7,777.38
  6. Step 6: Final answer
    x = 5,852.08

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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.