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Finding the Fourth Proportional to 8,623.95, 11,894.49 and 6,500.13

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Solution

The fourth proportional to 8,623.95, 11,894.49 and 6,500.13 is: 8,965.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623.95 : 11,894.49 = 6,500.13 : x
  2. Step 2: Convert to fraction form
    8,623.95/11,894.49 = 6,500.13/x
  3. Step 3: Cross multiply
    8,623.95x = 11,894.49 × 6,500.13
  4. Step 4: Simplify right side
    8,623.95x = 77,315,731.28
  5. Step 5: Solve for x
    x = 77,315,731.28/8,623.95
  6. Step 6: Final answer
    x = 8,965.23

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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.