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Finding the Fourth Proportional to 10,299.84, 15,454.37 and 4,750.22

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Solution

The fourth proportional to 10,299.84, 15,454.37 and 4,750.22 is: 7,127.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.84 : 15,454.37 = 4,750.22 : x
  2. Step 2: Convert to fraction form
    10,299.84/15,454.37 = 4,750.22/x
  3. Step 3: Cross multiply
    10,299.84x = 15,454.37 × 4,750.22
  4. Step 4: Simplify right side
    10,299.84x = 73,411,556.44
  5. Step 5: Solve for x
    x = 73,411,556.44/10,299.84
  6. Step 6: Final answer
    x = 7,127.45

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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.