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Finding the Fourth Proportional to 7,470.36, 10,309.03 and 4,113.23

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Solution

The fourth proportional to 7,470.36, 10,309.03 and 4,113.23 is: 5,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.36 : 10,309.03 = 4,113.23 : x
  2. Step 2: Convert to fraction form
    7,470.36/10,309.03 = 4,113.23/x
  3. Step 3: Cross multiply
    7,470.36x = 10,309.03 × 4,113.23
  4. Step 4: Simplify right side
    7,470.36x = 42,403,411.47
  5. Step 5: Solve for x
    x = 42,403,411.47/7,470.36
  6. Step 6: Final answer
    x = 5,676.22

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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.