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Finding the Fourth Proportional to 6,935.41, 10,402.71 and 3,038.50

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Solution

The fourth proportional to 6,935.41, 10,402.71 and 3,038.50 is: 4,557.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.41 : 10,402.71 = 3,038.50 : x
  2. Step 2: Convert to fraction form
    6,935.41/10,402.71 = 3,038.50/x
  3. Step 3: Cross multiply
    6,935.41x = 10,402.71 × 3,038.50
  4. Step 4: Simplify right side
    6,935.41x = 31,608,634.34
  5. Step 5: Solve for x
    x = 31,608,634.34/6,935.41
  6. Step 6: Final answer
    x = 4,557.57

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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.