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Finding the Fourth Proportional to 7,349.10, 10,141.61 and 4,162.16

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Solution

The fourth proportional to 7,349.10, 10,141.61 and 4,162.16 is: 5,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.10 : 10,141.61 = 4,162.16 : x
  2. Step 2: Convert to fraction form
    7,349.10/10,141.61 = 4,162.16/x
  3. Step 3: Cross multiply
    7,349.10x = 10,141.61 × 4,162.16
  4. Step 4: Simplify right side
    7,349.10x = 42,210,931.96
  5. Step 5: Solve for x
    x = 42,210,931.96/7,349.10
  6. Step 6: Final answer
    x = 5,743.69

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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.