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Finding the Fourth Proportional to 8,722.16, 12,032.35 and 5,182.87

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Solution

The fourth proportional to 8,722.16, 12,032.35 and 5,182.87 is: 7,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,722.16 : 12,032.35 = 5,182.87 : x
  2. Step 2: Convert to fraction form
    8,722.16/12,032.35 = 5,182.87/x
  3. Step 3: Cross multiply
    8,722.16x = 12,032.35 × 5,182.87
  4. Step 4: Simplify right side
    8,722.16x = 62,362,019.77
  5. Step 5: Solve for x
    x = 62,362,019.77/8,722.16
  6. Step 6: Final answer
    x = 7,149.84

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