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Finding the Fourth Proportional to 10,394.83, 14,345.19 and 5,679.01

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Solution

The fourth proportional to 10,394.83, 14,345.19 and 5,679.01 is: 7,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.83 : 14,345.19 = 5,679.01 : x
  2. Step 2: Convert to fraction form
    10,394.83/14,345.19 = 5,679.01/x
  3. Step 3: Cross multiply
    10,394.83x = 14,345.19 × 5,679.01
  4. Step 4: Simplify right side
    10,394.83x = 81,466,377.34
  5. Step 5: Solve for x
    x = 81,466,377.34/10,394.83
  6. Step 6: Final answer
    x = 7,837.21

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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.