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Finding the Fourth Proportional to 8,886.36, 12,263.98 and 5,349

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Solution

The fourth proportional to 8,886.36, 12,263.98 and 5,349 is: 7,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,886.36 : 12,263.98 = 5,349 : x
  2. Step 2: Convert to fraction form
    8,886.36/12,263.98 = 5,349/x
  3. Step 3: Cross multiply
    8,886.36x = 12,263.98 × 5,349
  4. Step 4: Simplify right side
    8,886.36x = 65,600,029.02
  5. Step 5: Solve for x
    x = 65,600,029.02/8,886.36
  6. Step 6: Final answer
    x = 7,382.10

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Why These Related Problems?

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