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Finding the Fourth Proportional to 10,406.48, 14,361.02 and 5,690.84

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Solution

The fourth proportional to 10,406.48, 14,361.02 and 5,690.84 is: 7,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.48 : 14,361.02 = 5,690.84 : x
  2. Step 2: Convert to fraction form
    10,406.48/14,361.02 = 5,690.84/x
  3. Step 3: Cross multiply
    10,406.48x = 14,361.02 × 5,690.84
  4. Step 4: Simplify right side
    10,406.48x = 81,726,267.06
  5. Step 5: Solve for x
    x = 81,726,267.06/10,406.48
  6. Step 6: Final answer
    x = 7,853.40

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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.