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Finding the Fourth Proportional to 10,807.30, 14,907.36 and 8,285.32

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Solution

The fourth proportional to 10,807.30, 14,907.36 and 8,285.32 is: 11,428.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.30 : 14,907.36 = 8,285.32 : x
  2. Step 2: Convert to fraction form
    10,807.30/14,907.36 = 8,285.32/x
  3. Step 3: Cross multiply
    10,807.30x = 14,907.36 × 8,285.32
  4. Step 4: Simplify right side
    10,807.30x = 123,512,247.96
  5. Step 5: Solve for x
    x = 123,512,247.96/10,807.30
  6. Step 6: Final answer
    x = 11,428.59

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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.