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Finding the Fourth Proportional to 7,656.64, 10,567.14 and 4,671.84

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Solution

The fourth proportional to 7,656.64, 10,567.14 and 4,671.84 is: 6,447.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.64 : 10,567.14 = 4,671.84 : x
  2. Step 2: Convert to fraction form
    7,656.64/10,567.14 = 4,671.84/x
  3. Step 3: Cross multiply
    7,656.64x = 10,567.14 × 4,671.84
  4. Step 4: Simplify right side
    7,656.64x = 49,367,911.14
  5. Step 5: Solve for x
    x = 49,367,911.14/7,656.64
  6. Step 6: Final answer
    x = 6,447.73

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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.