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Finding the Fourth Proportional to 10,454.90, 14,427.75 and 5,739.22

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Solution

The fourth proportional to 10,454.90, 14,427.75 and 5,739.22 is: 7,920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.90 : 14,427.75 = 5,739.22 : x
  2. Step 2: Convert to fraction form
    10,454.90/14,427.75 = 5,739.22/x
  3. Step 3: Cross multiply
    10,454.90x = 14,427.75 × 5,739.22
  4. Step 4: Simplify right side
    10,454.90x = 82,804,031.36
  5. Step 5: Solve for x
    x = 82,804,031.36/10,454.90
  6. Step 6: Final answer
    x = 7,920.12

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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.