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Finding the Fourth Proportional to 10,959.58, 16,441.80 and 5,113

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Solution

The fourth proportional to 10,959.58, 16,441.80 and 5,113 is: 7,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.58 : 16,441.80 = 5,113 : x
  2. Step 2: Convert to fraction form
    10,959.58/16,441.80 = 5,113/x
  3. Step 3: Cross multiply
    10,959.58x = 16,441.80 × 5,113
  4. Step 4: Simplify right side
    10,959.58x = 84,066,923.40
  5. Step 5: Solve for x
    x = 84,066,923.40/10,959.58
  6. Step 6: Final answer
    x = 7,670.63

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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.