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Finding the Fourth Proportional to 10,476.42, 14,456.93 and 5,759.79

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Solution

The fourth proportional to 10,476.42, 14,456.93 and 5,759.79 is: 7,948.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.42 : 14,456.93 = 5,759.79 : x
  2. Step 2: Convert to fraction form
    10,476.42/14,456.93 = 5,759.79/x
  3. Step 3: Cross multiply
    10,476.42x = 14,456.93 × 5,759.79
  4. Step 4: Simplify right side
    10,476.42x = 83,268,852.05
  5. Step 5: Solve for x
    x = 83,268,852.05/10,476.42
  6. Step 6: Final answer
    x = 7,948.22

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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.