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Finding the Fourth Proportional to 7,493.81, 10,345.60 and 4,510.38

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Solution

The fourth proportional to 7,493.81, 10,345.60 and 4,510.38 is: 6,226.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.81 : 10,345.60 = 4,510.38 : x
  2. Step 2: Convert to fraction form
    7,493.81/10,345.60 = 4,510.38/x
  3. Step 3: Cross multiply
    7,493.81x = 10,345.60 × 4,510.38
  4. Step 4: Simplify right side
    7,493.81x = 46,662,535.60
  5. Step 5: Solve for x
    x = 46,662,535.60/7,493.81
  6. Step 6: Final answer
    x = 6,226.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.