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Finding the Fourth Proportional to 10,823.68, 14,937.11 and 6,346.81

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Solution

The fourth proportional to 10,823.68, 14,937.11 and 6,346.81 is: 8,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.68 : 14,937.11 = 6,346.81 : x
  2. Step 2: Convert to fraction form
    10,823.68/14,937.11 = 6,346.81/x
  3. Step 3: Cross multiply
    10,823.68x = 14,937.11 × 6,346.81
  4. Step 4: Simplify right side
    10,823.68x = 94,802,999.12
  5. Step 5: Solve for x
    x = 94,802,999.12/10,823.68
  6. Step 6: Final answer
    x = 8,758.85

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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.