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Finding the Fourth Proportional to 8,382.61, 11,567.68 and 4,656.85

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Solution

The fourth proportional to 8,382.61, 11,567.68 and 4,656.85 is: 6,426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,382.61 : 11,567.68 = 4,656.85 : x
  2. Step 2: Convert to fraction form
    8,382.61/11,567.68 = 4,656.85/x
  3. Step 3: Cross multiply
    8,382.61x = 11,567.68 × 4,656.85
  4. Step 4: Simplify right side
    8,382.61x = 53,868,950.61
  5. Step 5: Solve for x
    x = 53,868,950.61/8,382.61
  6. Step 6: Final answer
    x = 6,426.27

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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.