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Finding the Fourth Proportional to 7,667.47, 11,492.51 and 3,454.17

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Solution

The fourth proportional to 7,667.47, 11,492.51 and 3,454.17 is: 5,177.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.47 : 11,492.51 = 3,454.17 : x
  2. Step 2: Convert to fraction form
    7,667.47/11,492.51 = 3,454.17/x
  3. Step 3: Cross multiply
    7,667.47x = 11,492.51 × 3,454.17
  4. Step 4: Simplify right side
    7,667.47x = 39,697,083.27
  5. Step 5: Solve for x
    x = 39,697,083.27/7,667.47
  6. Step 6: Final answer
    x = 5,177.34

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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.