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Finding the Fourth Proportional to 11,344.41, 15,656.63 and 6,868.53

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Solution

The fourth proportional to 11,344.41, 15,656.63 and 6,868.53 is: 9,479.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,344.41 : 15,656.63 = 6,868.53 : x
  2. Step 2: Convert to fraction form
    11,344.41/15,656.63 = 6,868.53/x
  3. Step 3: Cross multiply
    11,344.41x = 15,656.63 × 6,868.53
  4. Step 4: Simplify right side
    11,344.41x = 107,537,998.51
  5. Step 5: Solve for x
    x = 107,537,998.51/11,344.41
  6. Step 6: Final answer
    x = 9,479.38

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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.