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Finding the Fourth Proportional to 10,402.36, 14,356.36 and 6,154.84

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Solution

The fourth proportional to 10,402.36, 14,356.36 and 6,154.84 is: 8,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.36 : 14,356.36 = 6,154.84 : x
  2. Step 2: Convert to fraction form
    10,402.36/14,356.36 = 6,154.84/x
  3. Step 3: Cross multiply
    10,402.36x = 14,356.36 × 6,154.84
  4. Step 4: Simplify right side
    10,402.36x = 88,361,098.78
  5. Step 5: Solve for x
    x = 88,361,098.78/10,402.36
  6. Step 6: Final answer
    x = 8,494.33

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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.