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Finding the Fourth Proportional to 7,354.52, 10,142.22 and 4,838.76

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Solution

The fourth proportional to 7,354.52, 10,142.22 and 4,838.76 is: 6,672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.52 : 10,142.22 = 4,838.76 : x
  2. Step 2: Convert to fraction form
    7,354.52/10,142.22 = 4,838.76/x
  3. Step 3: Cross multiply
    7,354.52x = 10,142.22 × 4,838.76
  4. Step 4: Simplify right side
    7,354.52x = 49,075,768.45
  5. Step 5: Solve for x
    x = 49,075,768.45/7,354.52
  6. Step 6: Final answer
    x = 6,672.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.