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Finding the Fourth Proportional to 11,018, 15,204.64 and 6,237.88

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Solution

The fourth proportional to 11,018, 15,204.64 and 6,237.88 is: 8,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,018 : 15,204.64 = 6,237.88 : x
  2. Step 2: Convert to fraction form
    11,018/15,204.64 = 6,237.88/x
  3. Step 3: Cross multiply
    11,018x = 15,204.64 × 6,237.88
  4. Step 4: Simplify right side
    11,018x = 94,844,719.76
  5. Step 5: Solve for x
    x = 94,844,719.76/11,018
  6. Step 6: Final answer
    x = 8,608.16

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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.