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Finding the Fourth Proportional to 10,488.99, 14,474.96 and 5,709.08

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Solution

The fourth proportional to 10,488.99, 14,474.96 and 5,709.08 is: 7,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.99 : 14,474.96 = 5,709.08 : x
  2. Step 2: Convert to fraction form
    10,488.99/14,474.96 = 5,709.08/x
  3. Step 3: Cross multiply
    10,488.99x = 14,474.96 × 5,709.08
  4. Step 4: Simplify right side
    10,488.99x = 82,638,676.09
  5. Step 5: Solve for x
    x = 82,638,676.09/10,488.99
  6. Step 6: Final answer
    x = 7,878.61

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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.