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Finding the Fourth Proportional to 8,595.60, 12,894.74 and 3,665.25

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Solution

The fourth proportional to 8,595.60, 12,894.74 and 3,665.25 is: 5,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595.60 : 12,894.74 = 3,665.25 : x
  2. Step 2: Convert to fraction form
    8,595.60/12,894.74 = 3,665.25/x
  3. Step 3: Cross multiply
    8,595.60x = 12,894.74 × 3,665.25
  4. Step 4: Simplify right side
    8,595.60x = 47,262,427.46
  5. Step 5: Solve for x
    x = 47,262,427.46/8,595.60
  6. Step 6: Final answer
    x = 5,498.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.