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Finding the Fourth Proportional to 7,920.68, 11,881.33 and 3,538.18

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Solution

The fourth proportional to 7,920.68, 11,881.33 and 3,538.18 is: 5,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.68 : 11,881.33 = 3,538.18 : x
  2. Step 2: Convert to fraction form
    7,920.68/11,881.33 = 3,538.18/x
  3. Step 3: Cross multiply
    7,920.68x = 11,881.33 × 3,538.18
  4. Step 4: Simplify right side
    7,920.68x = 42,038,245.63
  5. Step 5: Solve for x
    x = 42,038,245.63/7,920.68
  6. Step 6: Final answer
    x = 5,307.40

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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.