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Finding the Fourth Proportional to 10,506.11, 14,499.81 and 6,729.89

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Solution

The fourth proportional to 10,506.11, 14,499.81 and 6,729.89 is: 9,288.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.11 : 14,499.81 = 6,729.89 : x
  2. Step 2: Convert to fraction form
    10,506.11/14,499.81 = 6,729.89/x
  3. Step 3: Cross multiply
    10,506.11x = 14,499.81 × 6,729.89
  4. Step 4: Simplify right side
    10,506.11x = 97,582,053.82
  5. Step 5: Solve for x
    x = 97,582,053.82/10,506.11
  6. Step 6: Final answer
    x = 9,288.13

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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.