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Finding the Fourth Proportional to 11,438.81, 15,785.85 and 6,402.84

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Solution

The fourth proportional to 11,438.81, 15,785.85 and 6,402.84 is: 8,836.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.81 : 15,785.85 = 6,402.84 : x
  2. Step 2: Convert to fraction form
    11,438.81/15,785.85 = 6,402.84/x
  3. Step 3: Cross multiply
    11,438.81x = 15,785.85 × 6,402.84
  4. Step 4: Simplify right side
    11,438.81x = 101,074,271.81
  5. Step 5: Solve for x
    x = 101,074,271.81/11,438.81
  6. Step 6: Final answer
    x = 8,836.08

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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.