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Finding the Fourth Proportional to 11,382.98, 15,709.54 and 6,907.86

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Solution

The fourth proportional to 11,382.98, 15,709.54 and 6,907.86 is: 9,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.98 : 15,709.54 = 6,907.86 : x
  2. Step 2: Convert to fraction form
    11,382.98/15,709.54 = 6,907.86/x
  3. Step 3: Cross multiply
    11,382.98x = 15,709.54 × 6,907.86
  4. Step 4: Simplify right side
    11,382.98x = 108,519,302.98
  5. Step 5: Solve for x
    x = 108,519,302.98/11,382.98
  6. Step 6: Final answer
    x = 9,533.47

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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.