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Finding the Fourth Proportional to 10,498.03, 15,732.23 and 5,820.12

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Solution

The fourth proportional to 10,498.03, 15,732.23 and 5,820.12 is: 8,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.03 : 15,732.23 = 5,820.12 : x
  2. Step 2: Convert to fraction form
    10,498.03/15,732.23 = 5,820.12/x
  3. Step 3: Cross multiply
    10,498.03x = 15,732.23 × 5,820.12
  4. Step 4: Simplify right side
    10,498.03x = 91,563,437.37
  5. Step 5: Solve for x
    x = 91,563,437.37/10,498.03
  6. Step 6: Final answer
    x = 8,721.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.