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Finding the Fourth Proportional to 6,801.42, 10,225.20 and 5,358

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Solution

The fourth proportional to 6,801.42, 10,225.20 and 5,358 is: 8,055.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.42 : 10,225.20 = 5,358 : x
  2. Step 2: Convert to fraction form
    6,801.42/10,225.20 = 5,358/x
  3. Step 3: Cross multiply
    6,801.42x = 10,225.20 × 5,358
  4. Step 4: Simplify right side
    6,801.42x = 54,786,621.60
  5. Step 5: Solve for x
    x = 54,786,621.60/6,801.42
  6. Step 6: Final answer
    x = 8,055.17

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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.