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Finding the Fourth Proportional to 11,588.30, 17,390.55 and 7,438.40

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Solution

The fourth proportional to 11,588.30, 17,390.55 and 7,438.40 is: 11,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.30 : 17,390.55 = 7,438.40 : x
  2. Step 2: Convert to fraction form
    11,588.30/17,390.55 = 7,438.40/x
  3. Step 3: Cross multiply
    11,588.30x = 17,390.55 × 7,438.40
  4. Step 4: Simplify right side
    11,588.30x = 129,357,867.12
  5. Step 5: Solve for x
    x = 129,357,867.12/11,588.30
  6. Step 6: Final answer
    x = 11,162.80

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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.