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Finding the Fourth Proportional to 10,174.87, 15,252.93 and 3,509.77

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Solution

The fourth proportional to 10,174.87, 15,252.93 and 3,509.77 is: 5,261.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174.87 : 15,252.93 = 3,509.77 : x
  2. Step 2: Convert to fraction form
    10,174.87/15,252.93 = 3,509.77/x
  3. Step 3: Cross multiply
    10,174.87x = 15,252.93 × 3,509.77
  4. Step 4: Simplify right side
    10,174.87x = 53,534,276.13
  5. Step 5: Solve for x
    x = 53,534,276.13/10,174.87
  6. Step 6: Final answer
    x = 5,261.42

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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.