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Finding the Fourth Proportional to 8,264.29, 12,384.12 and 4,567.57

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Solution

The fourth proportional to 8,264.29, 12,384.12 and 4,567.57 is: 6,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.29 : 12,384.12 = 4,567.57 : x
  2. Step 2: Convert to fraction form
    8,264.29/12,384.12 = 4,567.57/x
  3. Step 3: Cross multiply
    8,264.29x = 12,384.12 × 4,567.57
  4. Step 4: Simplify right side
    8,264.29x = 56,565,334.99
  5. Step 5: Solve for x
    x = 56,565,334.99/8,264.29
  6. Step 6: Final answer
    x = 6,844.55

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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.