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Finding the Fourth Proportional to 10,511.98, 14,503.59 and 6,262.02

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Solution

The fourth proportional to 10,511.98, 14,503.59 and 6,262.02 is: 8,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.98 : 14,503.59 = 6,262.02 : x
  2. Step 2: Convert to fraction form
    10,511.98/14,503.59 = 6,262.02/x
  3. Step 3: Cross multiply
    10,511.98x = 14,503.59 × 6,262.02
  4. Step 4: Simplify right side
    10,511.98x = 90,821,770.65
  5. Step 5: Solve for x
    x = 90,821,770.65/10,511.98
  6. Step 6: Final answer
    x = 8,639.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.