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Finding the Fourth Proportional to 11,292, 15,582.96 and 6,324

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Solution

The fourth proportional to 11,292, 15,582.96 and 6,324 is: 8,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,292 : 15,582.96 = 6,324 : x
  2. Step 2: Convert to fraction form
    11,292/15,582.96 = 6,324/x
  3. Step 3: Cross multiply
    11,292x = 15,582.96 × 6,324
  4. Step 4: Simplify right side
    11,292x = 98,546,639.04
  5. Step 5: Solve for x
    x = 98,546,639.04/11,292
  6. Step 6: Final answer
    x = 8,727.12

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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.