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Finding the Fourth Proportional to 11,707.16, 16,151.36 and 7,223.13

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Solution

The fourth proportional to 11,707.16, 16,151.36 and 7,223.13 is: 9,965.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,707.16 : 16,151.36 = 7,223.13 : x
  2. Step 2: Convert to fraction form
    11,707.16/16,151.36 = 7,223.13/x
  3. Step 3: Cross multiply
    11,707.16x = 16,151.36 × 7,223.13
  4. Step 4: Simplify right side
    11,707.16x = 116,663,431.39
  5. Step 5: Solve for x
    x = 116,663,431.39/11,707.16
  6. Step 6: Final answer
    x = 9,965.14

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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.