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Finding the Fourth Proportional to 10,463.79, 14,440.03 and 5,748.07

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Solution

The fourth proportional to 10,463.79, 14,440.03 and 5,748.07 is: 7,932.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.79 : 14,440.03 = 5,748.07 : x
  2. Step 2: Convert to fraction form
    10,463.79/14,440.03 = 5,748.07/x
  3. Step 3: Cross multiply
    10,463.79x = 14,440.03 × 5,748.07
  4. Step 4: Simplify right side
    10,463.79x = 83,002,252.77
  5. Step 5: Solve for x
    x = 83,002,252.77/10,463.79
  6. Step 6: Final answer
    x = 7,932.33

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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.