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Finding the Fourth Proportional to 10,569.14, 15,855.53 and 3,549.83

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Solution

The fourth proportional to 10,569.14, 15,855.53 and 3,549.83 is: 5,325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,569.14 : 15,855.53 = 3,549.83 : x
  2. Step 2: Convert to fraction form
    10,569.14/15,855.53 = 3,549.83/x
  3. Step 3: Cross multiply
    10,569.14x = 15,855.53 × 3,549.83
  4. Step 4: Simplify right side
    10,569.14x = 56,284,339.03
  5. Step 5: Solve for x
    x = 56,284,339.03/10,569.14
  6. Step 6: Final answer
    x = 5,325.35

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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.