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Finding the Fourth Proportional to 10,511.39, 15,745.95 and 5,230.46

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Solution

The fourth proportional to 10,511.39, 15,745.95 and 5,230.46 is: 7,835.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.39 : 15,745.95 = 5,230.46 : x
  2. Step 2: Convert to fraction form
    10,511.39/15,745.95 = 5,230.46/x
  3. Step 3: Cross multiply
    10,511.39x = 15,745.95 × 5,230.46
  4. Step 4: Simplify right side
    10,511.39x = 82,358,482.91
  5. Step 5: Solve for x
    x = 82,358,482.91/10,511.39
  6. Step 6: Final answer
    x = 7,835.17

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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.