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Finding the Fourth Proportional to 7,859.67, 11,774.10 and 4,565.88

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Solution

The fourth proportional to 7,859.67, 11,774.10 and 4,565.88 is: 6,839.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859.67 : 11,774.10 = 4,565.88 : x
  2. Step 2: Convert to fraction form
    7,859.67/11,774.10 = 4,565.88/x
  3. Step 3: Cross multiply
    7,859.67x = 11,774.10 × 4,565.88
  4. Step 4: Simplify right side
    7,859.67x = 53,759,127.71
  5. Step 5: Solve for x
    x = 53,759,127.71/7,859.67
  6. Step 6: Final answer
    x = 6,839.87

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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.