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Finding the Fourth Proportional to 8,715.78, 12,019.82 and 6,483.24

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Solution

The fourth proportional to 8,715.78, 12,019.82 and 6,483.24 is: 8,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,715.78 : 12,019.82 = 6,483.24 : x
  2. Step 2: Convert to fraction form
    8,715.78/12,019.82 = 6,483.24/x
  3. Step 3: Cross multiply
    8,715.78x = 12,019.82 × 6,483.24
  4. Step 4: Simplify right side
    8,715.78x = 77,927,345.40
  5. Step 5: Solve for x
    x = 77,927,345.40/8,715.78
  6. Step 6: Final answer
    x = 8,940.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.