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Finding the Fourth Proportional to 7,656.57, 10,567.05 and 4,671.77

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Solution

The fourth proportional to 7,656.57, 10,567.05 and 4,671.77 is: 6,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,656.57 : 10,567.05 = 4,671.77 : x
  2. Step 2: Convert to fraction form
    7,656.57/10,567.05 = 4,671.77/x
  3. Step 3: Cross multiply
    7,656.57x = 10,567.05 × 4,671.77
  4. Step 4: Simplify right side
    7,656.57x = 49,366,841.92
  5. Step 5: Solve for x
    x = 49,366,841.92/7,656.57
  6. Step 6: Final answer
    x = 6,447.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.