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Finding the Fourth Proportional to 11,419.35, 17,117.34 and 6,478.55

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Solution

The fourth proportional to 11,419.35, 17,117.34 and 6,478.55 is: 9,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.35 : 17,117.34 = 6,478.55 : x
  2. Step 2: Convert to fraction form
    11,419.35/17,117.34 = 6,478.55/x
  3. Step 3: Cross multiply
    11,419.35x = 17,117.34 × 6,478.55
  4. Step 4: Simplify right side
    11,419.35x = 110,895,543.06
  5. Step 5: Solve for x
    x = 110,895,543.06/11,419.35
  6. Step 6: Final answer
    x = 9,711.20

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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.