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Finding the Fourth Proportional to 10,768.53, 14,868.32 and 7,191.98

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Solution

The fourth proportional to 10,768.53, 14,868.32 and 7,191.98 is: 9,930.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,768.53 : 14,868.32 = 7,191.98 : x
  2. Step 2: Convert to fraction form
    10,768.53/14,868.32 = 7,191.98/x
  3. Step 3: Cross multiply
    10,768.53x = 14,868.32 × 7,191.98
  4. Step 4: Simplify right side
    10,768.53x = 106,932,549.77
  5. Step 5: Solve for x
    x = 106,932,549.77/10,768.53
  6. Step 6: Final answer
    x = 9,930.10

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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.