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Finding the Fourth Proportional to 10,463.89, 14,440.88 and 5,748.22

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Solution

The fourth proportional to 10,463.89, 14,440.88 and 5,748.22 is: 7,932.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.89 : 14,440.88 = 5,748.22 : x
  2. Step 2: Convert to fraction form
    10,463.89/14,440.88 = 5,748.22/x
  3. Step 3: Cross multiply
    10,463.89x = 14,440.88 × 5,748.22
  4. Step 4: Simplify right side
    10,463.89x = 83,009,355.23
  5. Step 5: Solve for x
    x = 83,009,355.23/10,463.89
  6. Step 6: Final answer
    x = 7,932.93

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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.