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Finding the Fourth Proportional to 10,446.40, 14,416.82 and 5,970.34

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Solution

The fourth proportional to 10,446.40, 14,416.82 and 5,970.34 is: 8,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.40 : 14,416.82 = 5,970.34 : x
  2. Step 2: Convert to fraction form
    10,446.40/14,416.82 = 5,970.34/x
  3. Step 3: Cross multiply
    10,446.40x = 14,416.82 × 5,970.34
  4. Step 4: Simplify right side
    10,446.40x = 86,073,327.68
  5. Step 5: Solve for x
    x = 86,073,327.68/10,446.40
  6. Step 6: Final answer
    x = 8,239.52

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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.