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Finding the Fourth Proportional to 8,827.84, 13,253.34 and 5,919.16

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Solution

The fourth proportional to 8,827.84, 13,253.34 and 5,919.16 is: 8,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,827.84 : 13,253.34 = 5,919.16 : x
  2. Step 2: Convert to fraction form
    8,827.84/13,253.34 = 5,919.16/x
  3. Step 3: Cross multiply
    8,827.84x = 13,253.34 × 5,919.16
  4. Step 4: Simplify right side
    8,827.84x = 78,448,639.99
  5. Step 5: Solve for x
    x = 78,448,639.99/8,827.84
  6. Step 6: Final answer
    x = 8,886.50

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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.