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Finding the Fourth Proportional to 8,497.58, 12,746.36 and 3,565.89

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Solution

The fourth proportional to 8,497.58, 12,746.36 and 3,565.89 is: 5,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.58 : 12,746.36 = 3,565.89 : x
  2. Step 2: Convert to fraction form
    8,497.58/12,746.36 = 3,565.89/x
  3. Step 3: Cross multiply
    8,497.58x = 12,746.36 × 3,565.89
  4. Step 4: Simplify right side
    8,497.58x = 45,452,126.58
  5. Step 5: Solve for x
    x = 45,452,126.58/8,497.58
  6. Step 6: Final answer
    x = 5,348.84

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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.