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Finding the Fourth Proportional to 10,059.18, 15,077.83 and 5,122.02

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Solution

The fourth proportional to 10,059.18, 15,077.83 and 5,122.02 is: 7,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.18 : 15,077.83 = 5,122.02 : x
  2. Step 2: Convert to fraction form
    10,059.18/15,077.83 = 5,122.02/x
  3. Step 3: Cross multiply
    10,059.18x = 15,077.83 × 5,122.02
  4. Step 4: Simplify right side
    10,059.18x = 77,228,946.82
  5. Step 5: Solve for x
    x = 77,228,946.82/10,059.18
  6. Step 6: Final answer
    x = 7,677.46

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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.