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Finding the Fourth Proportional to 10,549.82, 15,823.38 and 5,006.70

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Solution

The fourth proportional to 10,549.82, 15,823.38 and 5,006.70 is: 7,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.82 : 15,823.38 = 5,006.70 : x
  2. Step 2: Convert to fraction form
    10,549.82/15,823.38 = 5,006.70/x
  3. Step 3: Cross multiply
    10,549.82x = 15,823.38 × 5,006.70
  4. Step 4: Simplify right side
    10,549.82x = 79,222,916.65
  5. Step 5: Solve for x
    x = 79,222,916.65/10,549.82
  6. Step 6: Final answer
    x = 7,509.41

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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.