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Finding the Fourth Proportional to 10,937.76, 16,382.01 and 7,665.46

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Solution

The fourth proportional to 10,937.76, 16,382.01 and 7,665.46 is: 11,480.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.76 : 16,382.01 = 7,665.46 : x
  2. Step 2: Convert to fraction form
    10,937.76/16,382.01 = 7,665.46/x
  3. Step 3: Cross multiply
    10,937.76x = 16,382.01 × 7,665.46
  4. Step 4: Simplify right side
    10,937.76x = 125,575,642.37
  5. Step 5: Solve for x
    x = 125,575,642.37/10,937.76
  6. Step 6: Final answer
    x = 11,480.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.