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Finding the Fourth Proportional to 8,386, 12,584.76 and 2,914

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Solution

The fourth proportional to 8,386, 12,584.76 and 2,914 is: 4,373.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386 : 12,584.76 = 2,914 : x
  2. Step 2: Convert to fraction form
    8,386/12,584.76 = 2,914/x
  3. Step 3: Cross multiply
    8,386x = 12,584.76 × 2,914
  4. Step 4: Simplify right side
    8,386x = 36,671,990.64
  5. Step 5: Solve for x
    x = 36,671,990.64/8,386
  6. Step 6: Final answer
    x = 4,373.00

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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.