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Finding the Fourth Proportional to 10,377.54, 15,565.16 and 3,713.77

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Solution

The fourth proportional to 10,377.54, 15,565.16 and 3,713.77 is: 5,570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,377.54 : 15,565.16 = 3,713.77 : x
  2. Step 2: Convert to fraction form
    10,377.54/15,565.16 = 3,713.77/x
  3. Step 3: Cross multiply
    10,377.54x = 15,565.16 × 3,713.77
  4. Step 4: Simplify right side
    10,377.54x = 57,805,400.15
  5. Step 5: Solve for x
    x = 57,805,400.15/10,377.54
  6. Step 6: Final answer
    x = 5,570.24

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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.