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Finding the Fourth Proportional to 11,438.64, 17,155.13 and 4,864.07

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Solution

The fourth proportional to 11,438.64, 17,155.13 and 4,864.07 is: 7,294.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438.64 : 17,155.13 = 4,864.07 : x
  2. Step 2: Convert to fraction form
    11,438.64/17,155.13 = 4,864.07/x
  3. Step 3: Cross multiply
    11,438.64x = 17,155.13 × 4,864.07
  4. Step 4: Simplify right side
    11,438.64x = 83,443,771.75
  5. Step 5: Solve for x
    x = 83,443,771.75/11,438.64
  6. Step 6: Final answer
    x = 7,294.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.