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Finding the Fourth Proportional to 10,549.58, 15,828 and 3,977.64

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Solution

The fourth proportional to 10,549.58, 15,828 and 3,977.64 is: 5,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,549.58 : 15,828 = 3,977.64 : x
  2. Step 2: Convert to fraction form
    10,549.58/15,828 = 3,977.64/x
  3. Step 3: Cross multiply
    10,549.58x = 15,828 × 3,977.64
  4. Step 4: Simplify right side
    10,549.58x = 62,958,085.92
  5. Step 5: Solve for x
    x = 62,958,085.92/10,549.58
  6. Step 6: Final answer
    x = 5,967.83

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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.