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Finding the Fourth Proportional to 10,856, 14,981.28 and 6,140.18

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Solution

The fourth proportional to 10,856, 14,981.28 and 6,140.18 is: 8,473.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856 : 14,981.28 = 6,140.18 : x
  2. Step 2: Convert to fraction form
    10,856/14,981.28 = 6,140.18/x
  3. Step 3: Cross multiply
    10,856x = 14,981.28 × 6,140.18
  4. Step 4: Simplify right side
    10,856x = 91,987,755.83
  5. Step 5: Solve for x
    x = 91,987,755.83/10,856
  6. Step 6: Final answer
    x = 8,473.45

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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.