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Finding the Fourth Proportional to 10,358.65, 14,293.34 and 5,820.44

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Solution

The fourth proportional to 10,358.65, 14,293.34 and 5,820.44 is: 8,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.65 : 14,293.34 = 5,820.44 : x
  2. Step 2: Convert to fraction form
    10,358.65/14,293.34 = 5,820.44/x
  3. Step 3: Cross multiply
    10,358.65x = 14,293.34 × 5,820.44
  4. Step 4: Simplify right side
    10,358.65x = 83,193,449.13
  5. Step 5: Solve for x
    x = 83,193,449.13/10,358.65
  6. Step 6: Final answer
    x = 8,031.30

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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.