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Finding the Fourth Proportional to 12,894.57, 17,789.18 and 7,856.95

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Solution

The fourth proportional to 12,894.57, 17,789.18 and 7,856.95 is: 10,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894.57 : 17,789.18 = 7,856.95 : x
  2. Step 2: Convert to fraction form
    12,894.57/17,789.18 = 7,856.95/x
  3. Step 3: Cross multiply
    12,894.57x = 17,789.18 × 7,856.95
  4. Step 4: Simplify right side
    12,894.57x = 139,768,697.80
  5. Step 5: Solve for x
    x = 139,768,697.80/12,894.57
  6. Step 6: Final answer
    x = 10,839.35

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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.