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Finding the Fourth Proportional to 11,134, 15,365.08 and 6,166.32

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Solution

The fourth proportional to 11,134, 15,365.08 and 6,166.32 is: 8,509.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134 : 15,365.08 = 6,166.32 : x
  2. Step 2: Convert to fraction form
    11,134/15,365.08 = 6,166.32/x
  3. Step 3: Cross multiply
    11,134x = 15,365.08 × 6,166.32
  4. Step 4: Simplify right side
    11,134x = 94,746,000.11
  5. Step 5: Solve for x
    x = 94,746,000.11/11,134
  6. Step 6: Final answer
    x = 8,509.61

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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.