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Finding the Fourth Proportional to 11,547.92, 17,323.47 and 4,151

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Solution

The fourth proportional to 11,547.92, 17,323.47 and 4,151 is: 6,227.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.92 : 17,323.47 = 4,151 : x
  2. Step 2: Convert to fraction form
    11,547.92/17,323.47 = 4,151/x
  3. Step 3: Cross multiply
    11,547.92x = 17,323.47 × 4,151
  4. Step 4: Simplify right side
    11,547.92x = 71,909,723.97
  5. Step 5: Solve for x
    x = 71,909,723.97/11,547.92
  6. Step 6: Final answer
    x = 6,227.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.