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Finding the Fourth Proportional to 10,700.56, 16,048.32 and 6,022.56

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Solution

The fourth proportional to 10,700.56, 16,048.32 and 6,022.56 is: 9,032.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.56 : 16,048.32 = 6,022.56 : x
  2. Step 2: Convert to fraction form
    10,700.56/16,048.32 = 6,022.56/x
  3. Step 3: Cross multiply
    10,700.56x = 16,048.32 × 6,022.56
  4. Step 4: Simplify right side
    10,700.56x = 96,651,970.10
  5. Step 5: Solve for x
    x = 96,651,970.10/10,700.56
  6. Step 6: Final answer
    x = 9,032.42

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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.