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Finding the Fourth Proportional to 8,706.59, 13,058.62 and 2,784.14

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Solution

The fourth proportional to 8,706.59, 13,058.62 and 2,784.14 is: 4,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.59 : 13,058.62 = 2,784.14 : x
  2. Step 2: Convert to fraction form
    8,706.59/13,058.62 = 2,784.14/x
  3. Step 3: Cross multiply
    8,706.59x = 13,058.62 × 2,784.14
  4. Step 4: Simplify right side
    8,706.59x = 36,357,026.29
  5. Step 5: Solve for x
    x = 36,357,026.29/8,706.59
  6. Step 6: Final answer
    x = 4,175.81

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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.