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Finding the Fourth Proportional to 10,006.40, 13,808.98 and 5,814.65

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Solution

The fourth proportional to 10,006.40, 13,808.98 and 5,814.65 is: 8,024.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.40 : 13,808.98 = 5,814.65 : x
  2. Step 2: Convert to fraction form
    10,006.40/13,808.98 = 5,814.65/x
  3. Step 3: Cross multiply
    10,006.40x = 13,808.98 × 5,814.65
  4. Step 4: Simplify right side
    10,006.40x = 80,294,427.35
  5. Step 5: Solve for x
    x = 80,294,427.35/10,006.40
  6. Step 6: Final answer
    x = 8,024.31

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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.