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Finding the Fourth Proportional to 11,395.01, 15,723.11 and 6,358.84

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Solution

The fourth proportional to 11,395.01, 15,723.11 and 6,358.84 is: 8,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395.01 : 15,723.11 = 6,358.84 : x
  2. Step 2: Convert to fraction form
    11,395.01/15,723.11 = 6,358.84/x
  3. Step 3: Cross multiply
    11,395.01x = 15,723.11 × 6,358.84
  4. Step 4: Simplify right side
    11,395.01x = 99,980,717.38
  5. Step 5: Solve for x
    x = 99,980,717.38/11,395.01
  6. Step 6: Final answer
    x = 8,774.08

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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.