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Finding the Fourth Proportional to 8,583.84, 12,866.04 and 5,917.32

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Solution

The fourth proportional to 8,583.84, 12,866.04 and 5,917.32 is: 8,869.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.84 : 12,866.04 = 5,917.32 : x
  2. Step 2: Convert to fraction form
    8,583.84/12,866.04 = 5,917.32/x
  3. Step 3: Cross multiply
    8,583.84x = 12,866.04 × 5,917.32
  4. Step 4: Simplify right side
    8,583.84x = 76,132,475.81
  5. Step 5: Solve for x
    x = 76,132,475.81/8,583.84
  6. Step 6: Final answer
    x = 8,869.28

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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.