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Finding the Fourth Proportional to 8,582.93, 12,862.67 and 5,252.32

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Solution

The fourth proportional to 8,582.93, 12,862.67 and 5,252.32 is: 7,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.93 : 12,862.67 = 5,252.32 : x
  2. Step 2: Convert to fraction form
    8,582.93/12,862.67 = 5,252.32/x
  3. Step 3: Cross multiply
    8,582.93x = 12,862.67 × 5,252.32
  4. Step 4: Simplify right side
    8,582.93x = 67,558,858.89
  5. Step 5: Solve for x
    x = 67,558,858.89/8,582.93
  6. Step 6: Final answer
    x = 7,871.31

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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.