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Finding the Fourth Proportional to 10,782.72, 14,862.24 and 7,419.84

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Solution

The fourth proportional to 10,782.72, 14,862.24 and 7,419.84 is: 10,227.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.72 : 14,862.24 = 7,419.84 : x
  2. Step 2: Convert to fraction form
    10,782.72/14,862.24 = 7,419.84/x
  3. Step 3: Cross multiply
    10,782.72x = 14,862.24 × 7,419.84
  4. Step 4: Simplify right side
    10,782.72x = 110,275,442.84
  5. Step 5: Solve for x
    x = 110,275,442.84/10,782.72
  6. Step 6: Final answer
    x = 10,227.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.