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Finding the Fourth Proportional to 10,642.70, 15,969.54 and 5,094.92

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Solution

The fourth proportional to 10,642.70, 15,969.54 and 5,094.92 is: 7,645.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.70 : 15,969.54 = 5,094.92 : x
  2. Step 2: Convert to fraction form
    10,642.70/15,969.54 = 5,094.92/x
  3. Step 3: Cross multiply
    10,642.70x = 15,969.54 × 5,094.92
  4. Step 4: Simplify right side
    10,642.70x = 81,363,528.74
  5. Step 5: Solve for x
    x = 81,363,528.74/10,642.70
  6. Step 6: Final answer
    x = 7,645.01

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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.