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Finding the Fourth Proportional to 10,423.84, 14,385.24 and 5,708.22

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Solution

The fourth proportional to 10,423.84, 14,385.24 and 5,708.22 is: 7,877.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.84 : 14,385.24 = 5,708.22 : x
  2. Step 2: Convert to fraction form
    10,423.84/14,385.24 = 5,708.22/x
  3. Step 3: Cross multiply
    10,423.84x = 14,385.24 × 5,708.22
  4. Step 4: Simplify right side
    10,423.84x = 82,114,114.67
  5. Step 5: Solve for x
    x = 82,114,114.67/10,423.84
  6. Step 6: Final answer
    x = 7,877.53

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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.