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Finding the Fourth Proportional to 7,356.67, 10,152.18 and 4,213.46

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Solution

The fourth proportional to 7,356.67, 10,152.18 and 4,213.46 is: 5,814.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.67 : 10,152.18 = 4,213.46 : x
  2. Step 2: Convert to fraction form
    7,356.67/10,152.18 = 4,213.46/x
  3. Step 3: Cross multiply
    7,356.67x = 10,152.18 × 4,213.46
  4. Step 4: Simplify right side
    7,356.67x = 42,775,829.72
  5. Step 5: Solve for x
    x = 42,775,829.72/7,356.67
  6. Step 6: Final answer
    x = 5,814.57

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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.