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Finding the Fourth Proportional to 10,943, 16,420.14 and 6,016.52

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Solution

The fourth proportional to 10,943, 16,420.14 and 6,016.52 is: 9,027.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,943 : 16,420.14 = 6,016.52 : x
  2. Step 2: Convert to fraction form
    10,943/16,420.14 = 6,016.52/x
  3. Step 3: Cross multiply
    10,943x = 16,420.14 × 6,016.52
  4. Step 4: Simplify right side
    10,943x = 98,792,100.71
  5. Step 5: Solve for x
    x = 98,792,100.71/10,943
  6. Step 6: Final answer
    x = 9,027.88

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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.