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Finding the Fourth Proportional to 10,428.70, 14,391.90 and 6,340.50

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Solution

The fourth proportional to 10,428.70, 14,391.90 and 6,340.50 is: 8,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.70 : 14,391.90 = 6,340.50 : x
  2. Step 2: Convert to fraction form
    10,428.70/14,391.90 = 6,340.50/x
  3. Step 3: Cross multiply
    10,428.70x = 14,391.90 × 6,340.50
  4. Step 4: Simplify right side
    10,428.70x = 91,251,841.95
  5. Step 5: Solve for x
    x = 91,251,841.95/10,428.70
  6. Step 6: Final answer
    x = 8,750.07

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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.