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Finding the Fourth Proportional to 6,901.78, 10,352.63 and 4,129.23

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Solution

The fourth proportional to 6,901.78, 10,352.63 and 4,129.23 is: 6,193.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.78 : 10,352.63 = 4,129.23 : x
  2. Step 2: Convert to fraction form
    6,901.78/10,352.63 = 4,129.23/x
  3. Step 3: Cross multiply
    6,901.78x = 10,352.63 × 4,129.23
  4. Step 4: Simplify right side
    6,901.78x = 42,748,390.37
  5. Step 5: Solve for x
    x = 42,748,390.37/6,901.78
  6. Step 6: Final answer
    x = 6,193.82

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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.