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Finding the Fourth Proportional to 7,032.78, 10,548.81 and 1,838.46

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Solution

The fourth proportional to 7,032.78, 10,548.81 and 1,838.46 is: 2,757.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.78 : 10,548.81 = 1,838.46 : x
  2. Step 2: Convert to fraction form
    7,032.78/10,548.81 = 1,838.46/x
  3. Step 3: Cross multiply
    7,032.78x = 10,548.81 × 1,838.46
  4. Step 4: Simplify right side
    7,032.78x = 19,393,565.23
  5. Step 5: Solve for x
    x = 19,393,565.23/7,032.78
  6. Step 6: Final answer
    x = 2,757.60

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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.