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Finding the Fourth Proportional to 10,511.42, 14,506.03 and 6,036.04

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Solution

The fourth proportional to 10,511.42, 14,506.03 and 6,036.04 is: 8,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.42 : 14,506.03 = 6,036.04 : x
  2. Step 2: Convert to fraction form
    10,511.42/14,506.03 = 6,036.04/x
  3. Step 3: Cross multiply
    10,511.42x = 14,506.03 × 6,036.04
  4. Step 4: Simplify right side
    10,511.42x = 87,558,874.61
  5. Step 5: Solve for x
    x = 87,558,874.61/10,511.42
  6. Step 6: Final answer
    x = 8,329.88

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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.