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Finding the Fourth Proportional to 10,592.36, 14,622.36 and 6,345.44

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Solution

The fourth proportional to 10,592.36, 14,622.36 and 6,345.44 is: 8,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.36 : 14,622.36 = 6,345.44 : x
  2. Step 2: Convert to fraction form
    10,592.36/14,622.36 = 6,345.44/x
  3. Step 3: Cross multiply
    10,592.36x = 14,622.36 × 6,345.44
  4. Step 4: Simplify right side
    10,592.36x = 92,785,308.04
  5. Step 5: Solve for x
    x = 92,785,308.04/10,592.36
  6. Step 6: Final answer
    x = 8,759.64

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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.