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Finding the Fourth Proportional to 7,434.61, 10,259.66 and 4,077.41

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Solution

The fourth proportional to 7,434.61, 10,259.66 and 4,077.41 is: 5,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,434.61 : 10,259.66 = 4,077.41 : x
  2. Step 2: Convert to fraction form
    7,434.61/10,259.66 = 4,077.41/x
  3. Step 3: Cross multiply
    7,434.61x = 10,259.66 × 4,077.41
  4. Step 4: Simplify right side
    7,434.61x = 41,832,799.18
  5. Step 5: Solve for x
    x = 41,832,799.18/7,434.61
  6. Step 6: Final answer
    x = 5,626.77

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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.