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Finding the Fourth Proportional to 11,311, 15,612.69 and 7,585

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Solution

The fourth proportional to 11,311, 15,612.69 and 7,585 is: 10,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,311 : 15,612.69 = 7,585 : x
  2. Step 2: Convert to fraction form
    11,311/15,612.69 = 7,585/x
  3. Step 3: Cross multiply
    11,311x = 15,612.69 × 7,585
  4. Step 4: Simplify right side
    11,311x = 118,422,253.65
  5. Step 5: Solve for x
    x = 118,422,253.65/11,311
  6. Step 6: Final answer
    x = 10,469.65

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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.