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Finding the Fourth Proportional to 10,496.95, 14,486.45 and 5,781.23

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Solution

The fourth proportional to 10,496.95, 14,486.45 and 5,781.23 is: 7,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.95 : 14,486.45 = 5,781.23 : x
  2. Step 2: Convert to fraction form
    10,496.95/14,486.45 = 5,781.23/x
  3. Step 3: Cross multiply
    10,496.95x = 14,486.45 × 5,781.23
  4. Step 4: Simplify right side
    10,496.95x = 83,749,499.33
  5. Step 5: Solve for x
    x = 83,749,499.33/10,496.95
  6. Step 6: Final answer
    x = 7,978.46

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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.