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Finding the Fourth Proportional to 10,388.34, 15,573.84 and 4,838.83

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Solution

The fourth proportional to 10,388.34, 15,573.84 and 4,838.83 is: 7,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,388.34 : 15,573.84 = 4,838.83 : x
  2. Step 2: Convert to fraction form
    10,388.34/15,573.84 = 4,838.83/x
  3. Step 3: Cross multiply
    10,388.34x = 15,573.84 × 4,838.83
  4. Step 4: Simplify right side
    10,388.34x = 75,359,107.13
  5. Step 5: Solve for x
    x = 75,359,107.13/10,388.34
  6. Step 6: Final answer
    x = 7,254.20

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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.