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Finding the Fourth Proportional to 10,005.53, 15,008.30 and 2,609.98

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Solution

The fourth proportional to 10,005.53, 15,008.30 and 2,609.98 is: 3,914.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.53 : 15,008.30 = 2,609.98 : x
  2. Step 2: Convert to fraction form
    10,005.53/15,008.30 = 2,609.98/x
  3. Step 3: Cross multiply
    10,005.53x = 15,008.30 × 2,609.98
  4. Step 4: Simplify right side
    10,005.53x = 39,171,362.83
  5. Step 5: Solve for x
    x = 39,171,362.83/10,005.53
  6. Step 6: Final answer
    x = 3,914.97

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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.