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Finding the Fourth Proportional to 10,453.02, 14,425.02 and 5,737.32

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Solution

The fourth proportional to 10,453.02, 14,425.02 and 5,737.32 is: 7,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,453.02 : 14,425.02 = 5,737.32 : x
  2. Step 2: Convert to fraction form
    10,453.02/14,425.02 = 5,737.32/x
  3. Step 3: Cross multiply
    10,453.02x = 14,425.02 × 5,737.32
  4. Step 4: Simplify right side
    10,453.02x = 82,760,955.75
  5. Step 5: Solve for x
    x = 82,760,955.75/10,453.02
  6. Step 6: Final answer
    x = 7,917.42

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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.