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Finding the Fourth Proportional to 11,117, 15,341.52 and 6,081.28

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Solution

The fourth proportional to 11,117, 15,341.52 and 6,081.28 is: 8,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,117 : 15,341.52 = 6,081.28 : x
  2. Step 2: Convert to fraction form
    11,117/15,341.52 = 6,081.28/x
  3. Step 3: Cross multiply
    11,117x = 15,341.52 × 6,081.28
  4. Step 4: Simplify right side
    11,117x = 93,296,078.75
  5. Step 5: Solve for x
    x = 93,296,078.75/11,117
  6. Step 6: Final answer
    x = 8,392.20

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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.