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Finding the Fourth Proportional to 8,709.60, 12,021.98 and 5,565.78

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Solution

The fourth proportional to 8,709.60, 12,021.98 and 5,565.78 is: 7,682.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.60 : 12,021.98 = 5,565.78 : x
  2. Step 2: Convert to fraction form
    8,709.60/12,021.98 = 5,565.78/x
  3. Step 3: Cross multiply
    8,709.60x = 12,021.98 × 5,565.78
  4. Step 4: Simplify right side
    8,709.60x = 66,911,695.84
  5. Step 5: Solve for x
    x = 66,911,695.84/8,709.60
  6. Step 6: Final answer
    x = 7,682.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.