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Finding the Fourth Proportional to 10,907.28, 14,947.16 and 9,857.52

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Solution

The fourth proportional to 10,907.28, 14,947.16 and 9,857.52 is: 13,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,907.28 : 14,947.16 = 9,857.52 : x
  2. Step 2: Convert to fraction form
    10,907.28/14,947.16 = 9,857.52/x
  3. Step 3: Cross multiply
    10,907.28x = 14,947.16 × 9,857.52
  4. Step 4: Simplify right side
    10,907.28x = 147,341,928.64
  5. Step 5: Solve for x
    x = 147,341,928.64/10,907.28
  6. Step 6: Final answer
    x = 13,508.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.