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Finding the Fourth Proportional to 11,168, 15,386.48 and 8,641.36

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Solution

The fourth proportional to 11,168, 15,386.48 and 8,641.36 is: 11,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,168 : 15,386.48 = 8,641.36 : x
  2. Step 2: Convert to fraction form
    11,168/15,386.48 = 8,641.36/x
  3. Step 3: Cross multiply
    11,168x = 15,386.48 × 8,641.36
  4. Step 4: Simplify right side
    11,168x = 132,960,112.81
  5. Step 5: Solve for x
    x = 132,960,112.81/11,168
  6. Step 6: Final answer
    x = 11,905.45

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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.