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Finding the Fourth Proportional to 11,440.81, 15,780.17 and 10,499.64

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Solution

The fourth proportional to 11,440.81, 15,780.17 and 10,499.64 is: 14,482.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.81 : 15,780.17 = 10,499.64 : x
  2. Step 2: Convert to fraction form
    11,440.81/15,780.17 = 10,499.64/x
  3. Step 3: Cross multiply
    11,440.81x = 15,780.17 × 10,499.64
  4. Step 4: Simplify right side
    11,440.81x = 165,686,064.69
  5. Step 5: Solve for x
    x = 165,686,064.69/11,440.81
  6. Step 6: Final answer
    x = 14,482.03

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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.