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Finding the Fourth Proportional to 7,357.67, 10,153.56 and 4,214.46

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Solution

The fourth proportional to 7,357.67, 10,153.56 and 4,214.46 is: 5,815.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,357.67 : 10,153.56 = 4,214.46 : x
  2. Step 2: Convert to fraction form
    7,357.67/10,153.56 = 4,214.46/x
  3. Step 3: Cross multiply
    7,357.67x = 10,153.56 × 4,214.46
  4. Step 4: Simplify right side
    7,357.67x = 42,791,772.48
  5. Step 5: Solve for x
    x = 42,791,772.48/7,357.67
  6. Step 6: Final answer
    x = 5,815.94

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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.