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Finding the Fourth Proportional to 10,446.03, 14,415.97 and 5,970.13

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Solution

The fourth proportional to 10,446.03, 14,415.97 and 5,970.13 is: 8,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,446.03 : 14,415.97 = 5,970.13 : x
  2. Step 2: Convert to fraction form
    10,446.03/14,415.97 = 5,970.13/x
  3. Step 3: Cross multiply
    10,446.03x = 14,415.97 × 5,970.13
  4. Step 4: Simplify right side
    10,446.03x = 86,065,214.98
  5. Step 5: Solve for x
    x = 86,065,214.98/10,446.03
  6. Step 6: Final answer
    x = 8,239.04

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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.