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Finding the Fourth Proportional to 8,203.10, 12,306.47 and 2,359.28

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Solution

The fourth proportional to 8,203.10, 12,306.47 and 2,359.28 is: 3,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.10 : 12,306.47 = 2,359.28 : x
  2. Step 2: Convert to fraction form
    8,203.10/12,306.47 = 2,359.28/x
  3. Step 3: Cross multiply
    8,203.10x = 12,306.47 × 2,359.28
  4. Step 4: Simplify right side
    8,203.10x = 29,034,427.51
  5. Step 5: Solve for x
    x = 29,034,427.51/8,203.10
  6. Step 6: Final answer
    x = 3,539.45

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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.