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Finding the Fourth Proportional to 10,856.50, 14,981.97 and 6,140.68

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Solution

The fourth proportional to 10,856.50, 14,981.97 and 6,140.68 is: 8,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.50 : 14,981.97 = 6,140.68 : x
  2. Step 2: Convert to fraction form
    10,856.50/14,981.97 = 6,140.68/x
  3. Step 3: Cross multiply
    10,856.50x = 14,981.97 × 6,140.68
  4. Step 4: Simplify right side
    10,856.50x = 91,999,483.54
  5. Step 5: Solve for x
    x = 91,999,483.54/10,856.50
  6. Step 6: Final answer
    x = 8,474.14

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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.