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Finding the Fourth Proportional to 8,594.64, 11,862.72 and 6,705.72

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Solution

The fourth proportional to 8,594.64, 11,862.72 and 6,705.72 is: 9,255.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.64 : 11,862.72 = 6,705.72 : x
  2. Step 2: Convert to fraction form
    8,594.64/11,862.72 = 6,705.72/x
  3. Step 3: Cross multiply
    8,594.64x = 11,862.72 × 6,705.72
  4. Step 4: Simplify right side
    8,594.64x = 79,548,078.76
  5. Step 5: Solve for x
    x = 79,548,078.76/8,594.64
  6. Step 6: Final answer
    x = 9,255.55

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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.