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Finding the Fourth Proportional to 10,230.58, 15,339.30 and 6,716.44

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Solution

The fourth proportional to 10,230.58, 15,339.30 and 6,716.44 is: 10,070.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,230.58 : 15,339.30 = 6,716.44 : x
  2. Step 2: Convert to fraction form
    10,230.58/15,339.30 = 6,716.44/x
  3. Step 3: Cross multiply
    10,230.58x = 15,339.30 × 6,716.44
  4. Step 4: Simplify right side
    10,230.58x = 103,025,488.09
  5. Step 5: Solve for x
    x = 103,025,488.09/10,230.58
  6. Step 6: Final answer
    x = 10,070.35

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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.