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Finding the Fourth Proportional to 8,594.10, 12,865.63 and 4,686.66

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Solution

The fourth proportional to 8,594.10, 12,865.63 and 4,686.66 is: 7,016.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.10 : 12,865.63 = 4,686.66 : x
  2. Step 2: Convert to fraction form
    8,594.10/12,865.63 = 4,686.66/x
  3. Step 3: Cross multiply
    8,594.10x = 12,865.63 × 4,686.66
  4. Step 4: Simplify right side
    8,594.10x = 60,296,810.06
  5. Step 5: Solve for x
    x = 60,296,810.06/8,594.10
  6. Step 6: Final answer
    x = 7,016.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.