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Finding the Fourth Proportional to 7,130.72, 10,695.26 and 1,866.24

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Solution

The fourth proportional to 7,130.72, 10,695.26 and 1,866.24 is: 2,799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,130.72 : 10,695.26 = 1,866.24 : x
  2. Step 2: Convert to fraction form
    7,130.72/10,695.26 = 1,866.24/x
  3. Step 3: Cross multiply
    7,130.72x = 10,695.26 × 1,866.24
  4. Step 4: Simplify right side
    7,130.72x = 19,959,859.21
  5. Step 5: Solve for x
    x = 19,959,859.21/7,130.72
  6. Step 6: Final answer
    x = 2,799.14

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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.