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Finding the Fourth Proportional to 10,006.34, 15,014.84 and 5,624.10

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Solution

The fourth proportional to 10,006.34, 15,014.84 and 5,624.10 is: 8,439.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.34 : 15,014.84 = 5,624.10 : x
  2. Step 2: Convert to fraction form
    10,006.34/15,014.84 = 5,624.10/x
  3. Step 3: Cross multiply
    10,006.34x = 15,014.84 × 5,624.10
  4. Step 4: Simplify right side
    10,006.34x = 84,444,933.52
  5. Step 5: Solve for x
    x = 84,444,933.52/10,006.34
  6. Step 6: Final answer
    x = 8,439.15

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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.