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Finding the Fourth Proportional to 10,446.39, 14,416.76 and 5,970.80

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Solution

The fourth proportional to 10,446.39, 14,416.76 and 5,970.80 is: 8,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.39 : 14,416.76 = 5,970.80 : x
  2. Step 2: Convert to fraction form
    10,446.39/14,416.76 = 5,970.80/x
  3. Step 3: Cross multiply
    10,446.39x = 14,416.76 × 5,970.80
  4. Step 4: Simplify right side
    10,446.39x = 86,079,641.58
  5. Step 5: Solve for x
    x = 86,079,641.58/10,446.39
  6. Step 6: Final answer
    x = 8,240.13

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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.