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Finding the Fourth Proportional to 10,952.76, 15,120.50 and 6,709.98

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Solution

The fourth proportional to 10,952.76, 15,120.50 and 6,709.98 is: 9,263.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.76 : 15,120.50 = 6,709.98 : x
  2. Step 2: Convert to fraction form
    10,952.76/15,120.50 = 6,709.98/x
  3. Step 3: Cross multiply
    10,952.76x = 15,120.50 × 6,709.98
  4. Step 4: Simplify right side
    10,952.76x = 101,458,219.04
  5. Step 5: Solve for x
    x = 101,458,219.04/10,952.76
  6. Step 6: Final answer
    x = 9,263.26

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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.