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Finding the Fourth Proportional to 10,380.40, 14,324.88 and 5,904.16

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Solution

The fourth proportional to 10,380.40, 14,324.88 and 5,904.16 is: 8,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.40 : 14,324.88 = 5,904.16 : x
  2. Step 2: Convert to fraction form
    10,380.40/14,324.88 = 5,904.16/x
  3. Step 3: Cross multiply
    10,380.40x = 14,324.88 × 5,904.16
  4. Step 4: Simplify right side
    10,380.40x = 84,576,347.69
  5. Step 5: Solve for x
    x = 84,576,347.69/10,380.40
  6. Step 6: Final answer
    x = 8,147.70

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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.