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Finding the Fourth Proportional to 10,402.36, 14,340.85 and 7,039.85

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Solution

The fourth proportional to 10,402.36, 14,340.85 and 7,039.85 is: 9,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.36 : 14,340.85 = 7,039.85 : x
  2. Step 2: Convert to fraction form
    10,402.36/14,340.85 = 7,039.85/x
  3. Step 3: Cross multiply
    10,402.36x = 14,340.85 × 7,039.85
  4. Step 4: Simplify right side
    10,402.36x = 100,957,343.57
  5. Step 5: Solve for x
    x = 100,957,343.57/10,402.36
  6. Step 6: Final answer
    x = 9,705.24

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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.