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Finding the Fourth Proportional to 8,565.84, 12,848.76 and 2,722.45

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Solution

The fourth proportional to 8,565.84, 12,848.76 and 2,722.45 is: 4,083.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.84 : 12,848.76 = 2,722.45 : x
  2. Step 2: Convert to fraction form
    8,565.84/12,848.76 = 2,722.45/x
  3. Step 3: Cross multiply
    8,565.84x = 12,848.76 × 2,722.45
  4. Step 4: Simplify right side
    8,565.84x = 34,980,106.66
  5. Step 5: Solve for x
    x = 34,980,106.66/8,565.84
  6. Step 6: Final answer
    x = 4,083.68

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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.