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Finding the Fourth Proportional to 10,339.17, 15,509.79 and 3,317.43

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Solution

The fourth proportional to 10,339.17, 15,509.79 and 3,317.43 is: 4,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.17 : 15,509.79 = 3,317.43 : x
  2. Step 2: Convert to fraction form
    10,339.17/15,509.79 = 3,317.43/x
  3. Step 3: Cross multiply
    10,339.17x = 15,509.79 × 3,317.43
  4. Step 4: Simplify right side
    10,339.17x = 51,452,642.64
  5. Step 5: Solve for x
    x = 51,452,642.64/10,339.17
  6. Step 6: Final answer
    x = 4,976.48

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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.