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Finding the Fourth Proportional to 11,536.66, 15,921.78 and 7,063.38

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Solution

The fourth proportional to 11,536.66, 15,921.78 and 7,063.38 is: 9,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,536.66 : 15,921.78 = 7,063.38 : x
  2. Step 2: Convert to fraction form
    11,536.66/15,921.78 = 7,063.38/x
  3. Step 3: Cross multiply
    11,536.66x = 15,921.78 × 7,063.38
  4. Step 4: Simplify right side
    11,536.66x = 112,461,582.42
  5. Step 5: Solve for x
    x = 112,461,582.42/11,536.66
  6. Step 6: Final answer
    x = 9,748.19

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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.