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Finding the Fourth Proportional to 7,461.38, 10,305.06 and 5,802.74

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Solution

The fourth proportional to 7,461.38, 10,305.06 and 5,802.74 is: 8,014.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.38 : 10,305.06 = 5,802.74 : x
  2. Step 2: Convert to fraction form
    7,461.38/10,305.06 = 5,802.74/x
  3. Step 3: Cross multiply
    7,461.38x = 10,305.06 × 5,802.74
  4. Step 4: Simplify right side
    7,461.38x = 59,797,583.86
  5. Step 5: Solve for x
    x = 59,797,583.86/7,461.38
  6. Step 6: Final answer
    x = 8,014.28

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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.