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Finding the Fourth Proportional to 8,344.75, 11,515.66 and 4,567.87

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Solution

The fourth proportional to 8,344.75, 11,515.66 and 4,567.87 is: 6,303.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,344.75 : 11,515.66 = 4,567.87 : x
  2. Step 2: Convert to fraction form
    8,344.75/11,515.66 = 4,567.87/x
  3. Step 3: Cross multiply
    8,344.75x = 11,515.66 × 4,567.87
  4. Step 4: Simplify right side
    8,344.75x = 52,602,037.84
  5. Step 5: Solve for x
    x = 52,602,037.84/8,344.75
  6. Step 6: Final answer
    x = 6,303.61

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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.