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Finding the Fourth Proportional to 10,451.16, 14,422.05 and 5,974.32

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Solution

The fourth proportional to 10,451.16, 14,422.05 and 5,974.32 is: 8,244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.16 : 14,422.05 = 5,974.32 : x
  2. Step 2: Convert to fraction form
    10,451.16/14,422.05 = 5,974.32/x
  3. Step 3: Cross multiply
    10,451.16x = 14,422.05 × 5,974.32
  4. Step 4: Simplify right side
    10,451.16x = 86,161,941.76
  5. Step 5: Solve for x
    x = 86,161,941.76/10,451.16
  6. Step 6: Final answer
    x = 8,244.25

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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.