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Finding the Fourth Proportional to 7,356.81, 10,152.81 and 4,214.01

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Solution

The fourth proportional to 7,356.81, 10,152.81 and 4,214.01 is: 5,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.81 : 10,152.81 = 4,214.01 : x
  2. Step 2: Convert to fraction form
    7,356.81/10,152.81 = 4,214.01/x
  3. Step 3: Cross multiply
    7,356.81x = 10,152.81 × 4,214.01
  4. Step 4: Simplify right side
    7,356.81x = 42,784,042.87
  5. Step 5: Solve for x
    x = 42,784,042.87/7,356.81
  6. Step 6: Final answer
    x = 5,815.57

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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.