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Finding the Fourth Proportional to 10,155.92, 14,012.32 and 5,679.16

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Solution

The fourth proportional to 10,155.92, 14,012.32 and 5,679.16 is: 7,835.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,155.92 : 14,012.32 = 5,679.16 : x
  2. Step 2: Convert to fraction form
    10,155.92/14,012.32 = 5,679.16/x
  3. Step 3: Cross multiply
    10,155.92x = 14,012.32 × 5,679.16
  4. Step 4: Simplify right side
    10,155.92x = 79,578,207.25
  5. Step 5: Solve for x
    x = 79,578,207.25/10,155.92
  6. Step 6: Final answer
    x = 7,835.65

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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.