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Finding the Fourth Proportional to 8,930.84, 12,315.80 and 8,224.52

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Solution

The fourth proportional to 8,930.84, 12,315.80 and 8,224.52 is: 11,341.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,930.84 : 12,315.80 = 8,224.52 : x
  2. Step 2: Convert to fraction form
    8,930.84/12,315.80 = 8,224.52/x
  3. Step 3: Cross multiply
    8,930.84x = 12,315.80 × 8,224.52
  4. Step 4: Simplify right side
    8,930.84x = 101,291,502.29
  5. Step 5: Solve for x
    x = 101,291,502.29/8,930.84
  6. Step 6: Final answer
    x = 11,341.77

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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.