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Finding the Fourth Proportional to 11,088, 15,301.46 and 6,120

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Solution

The fourth proportional to 11,088, 15,301.46 and 6,120 is: 8,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,088 : 15,301.46 = 6,120 : x
  2. Step 2: Convert to fraction form
    11,088/15,301.46 = 6,120/x
  3. Step 3: Cross multiply
    11,088x = 15,301.46 × 6,120
  4. Step 4: Simplify right side
    11,088x = 93,644,935.20
  5. Step 5: Solve for x
    x = 93,644,935.20/11,088
  6. Step 6: Final answer
    x = 8,445.61

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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.