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Finding the Fourth Proportional to 10,404.36, 14,359.02 and 5,689.35

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Solution

The fourth proportional to 10,404.36, 14,359.02 and 5,689.35 is: 7,851.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.36 : 14,359.02 = 5,689.35 : x
  2. Step 2: Convert to fraction form
    10,404.36/14,359.02 = 5,689.35/x
  3. Step 3: Cross multiply
    10,404.36x = 14,359.02 × 5,689.35
  4. Step 4: Simplify right side
    10,404.36x = 81,693,490.44
  5. Step 5: Solve for x
    x = 81,693,490.44/10,404.36
  6. Step 6: Final answer
    x = 7,851.85

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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.