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Finding the Fourth Proportional to 7,470.54, 10,309.77 and 4,114.07

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Solution

The fourth proportional to 7,470.54, 10,309.77 and 4,114.07 is: 5,677.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.54 : 10,309.77 = 4,114.07 : x
  2. Step 2: Convert to fraction form
    7,470.54/10,309.77 = 4,114.07/x
  3. Step 3: Cross multiply
    7,470.54x = 10,309.77 × 4,114.07
  4. Step 4: Simplify right side
    7,470.54x = 42,415,043.34
  5. Step 5: Solve for x
    x = 42,415,043.34/7,470.54
  6. Step 6: Final answer
    x = 5,677.64

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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.