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Finding the Fourth Proportional to 10,423.48, 14,384.20 and 5,947.48

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Solution

The fourth proportional to 10,423.48, 14,384.20 and 5,947.48 is: 8,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.48 : 14,384.20 = 5,947.48 : x
  2. Step 2: Convert to fraction form
    10,423.48/14,384.20 = 5,947.48/x
  3. Step 3: Cross multiply
    10,423.48x = 14,384.20 × 5,947.48
  4. Step 4: Simplify right side
    10,423.48x = 85,549,741.82
  5. Step 5: Solve for x
    x = 85,549,741.82/10,423.48
  6. Step 6: Final answer
    x = 8,207.41

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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.