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Finding the Fourth Proportional to 8,210.46, 12,316.54 and 2,663.58

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Solution

The fourth proportional to 8,210.46, 12,316.54 and 2,663.58 is: 3,995.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.46 : 12,316.54 = 2,663.58 : x
  2. Step 2: Convert to fraction form
    8,210.46/12,316.54 = 2,663.58/x
  3. Step 3: Cross multiply
    8,210.46x = 12,316.54 × 2,663.58
  4. Step 4: Simplify right side
    8,210.46x = 32,806,089.61
  5. Step 5: Solve for x
    x = 32,806,089.61/8,210.46
  6. Step 6: Final answer
    x = 3,995.65

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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.