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Finding the Fourth Proportional to 10,464.90, 14,442.26 and 5,749.22

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Solution

The fourth proportional to 10,464.90, 14,442.26 and 5,749.22 is: 7,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,464.90 : 14,442.26 = 5,749.22 : x
  2. Step 2: Convert to fraction form
    10,464.90/14,442.26 = 5,749.22/x
  3. Step 3: Cross multiply
    10,464.90x = 14,442.26 × 5,749.22
  4. Step 4: Simplify right side
    10,464.90x = 83,031,730.04
  5. Step 5: Solve for x
    x = 83,031,730.04/10,464.90
  6. Step 6: Final answer
    x = 7,934.31

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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.