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Finding the Fourth Proportional to 11,412.48, 15,744.38 and 7,160.64

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Solution

The fourth proportional to 11,412.48, 15,744.38 and 7,160.64 is: 9,878.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.48 : 15,744.38 = 7,160.64 : x
  2. Step 2: Convert to fraction form
    11,412.48/15,744.38 = 7,160.64/x
  3. Step 3: Cross multiply
    11,412.48x = 15,744.38 × 7,160.64
  4. Step 4: Simplify right side
    11,412.48x = 112,739,801.40
  5. Step 5: Solve for x
    x = 112,739,801.40/11,412.48
  6. Step 6: Final answer
    x = 9,878.64

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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.