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Finding the Fourth Proportional to 8,706.87, 13,058.64 and 2,465.38

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Solution

The fourth proportional to 8,706.87, 13,058.64 and 2,465.38 is: 3,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,706.87 : 13,058.64 = 2,465.38 : x
  2. Step 2: Convert to fraction form
    8,706.87/13,058.64 = 2,465.38/x
  3. Step 3: Cross multiply
    8,706.87x = 13,058.64 × 2,465.38
  4. Step 4: Simplify right side
    8,706.87x = 32,194,526.21
  5. Step 5: Solve for x
    x = 32,194,526.21/8,706.87
  6. Step 6: Final answer
    x = 3,697.60

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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.