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Finding the Fourth Proportional to 7,340.63, 10,130.06 and 4,196.81

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Solution

The fourth proportional to 7,340.63, 10,130.06 and 4,196.81 is: 5,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.63 : 10,130.06 = 4,196.81 : x
  2. Step 2: Convert to fraction form
    7,340.63/10,130.06 = 4,196.81/x
  3. Step 3: Cross multiply
    7,340.63x = 10,130.06 × 4,196.81
  4. Step 4: Simplify right side
    7,340.63x = 42,513,972.93
  5. Step 5: Solve for x
    x = 42,513,972.93/7,340.63
  6. Step 6: Final answer
    x = 5,791.60

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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.