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Finding the Fourth Proportional to 10,503.42, 14,494.20 and 5,786.82

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Solution

The fourth proportional to 10,503.42, 14,494.20 and 5,786.82 is: 7,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.42 : 14,494.20 = 5,786.82 : x
  2. Step 2: Convert to fraction form
    10,503.42/14,494.20 = 5,786.82/x
  3. Step 3: Cross multiply
    10,503.42x = 14,494.20 × 5,786.82
  4. Step 4: Simplify right side
    10,503.42x = 83,875,326.44
  5. Step 5: Solve for x
    x = 83,875,326.44/10,503.42
  6. Step 6: Final answer
    x = 7,985.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.