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Finding the Fourth Proportional to 10,398.31, 14,349.65 and 5,922.07

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Solution

The fourth proportional to 10,398.31, 14,349.65 and 5,922.07 is: 8,172.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.31 : 14,349.65 = 5,922.07 : x
  2. Step 2: Convert to fraction form
    10,398.31/14,349.65 = 5,922.07/x
  3. Step 3: Cross multiply
    10,398.31x = 14,349.65 × 5,922.07
  4. Step 4: Simplify right side
    10,398.31x = 84,979,631.78
  5. Step 5: Solve for x
    x = 84,979,631.78/10,398.31
  6. Step 6: Final answer
    x = 8,172.45

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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.