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Finding the Fourth Proportional to 10,931.34, 15,091.47 and 7,216.14

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Solution

The fourth proportional to 10,931.34, 15,091.47 and 7,216.14 is: 9,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.34 : 15,091.47 = 7,216.14 : x
  2. Step 2: Convert to fraction form
    10,931.34/15,091.47 = 7,216.14/x
  3. Step 3: Cross multiply
    10,931.34x = 15,091.47 × 7,216.14
  4. Step 4: Simplify right side
    10,931.34x = 108,902,160.33
  5. Step 5: Solve for x
    x = 108,902,160.33/10,931.34
  6. Step 6: Final answer
    x = 9,962.38

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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.