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Finding the Fourth Proportional to 11,594, 17,391 and 5,438

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Solution

The fourth proportional to 11,594, 17,391 and 5,438 is: 8,157

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594 : 17,391 = 5,438 : x
  2. Step 2: Convert to fraction form
    11,594/17,391 = 5,438/x
  3. Step 3: Cross multiply
    11,594x = 17,391 × 5,438
  4. Step 4: Simplify right side
    11,594x = 94,572,258
  5. Step 5: Solve for x
    x = 94,572,258/11,594
  6. Step 6: Final answer
    x = 8,157

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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.