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Finding the Fourth Proportional to 10,886.16, 15,018.58 and 7,108.12

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Solution

The fourth proportional to 10,886.16, 15,018.58 and 7,108.12 is: 9,806.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.16 : 15,018.58 = 7,108.12 : x
  2. Step 2: Convert to fraction form
    10,886.16/15,018.58 = 7,108.12/x
  3. Step 3: Cross multiply
    10,886.16x = 15,018.58 × 7,108.12
  4. Step 4: Simplify right side
    10,886.16x = 106,753,868.87
  5. Step 5: Solve for x
    x = 106,753,868.87/10,886.16
  6. Step 6: Final answer
    x = 9,806.38

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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.