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Finding the Fourth Proportional to 7,301.70, 10,076.63 and 4,116.26

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Solution

The fourth proportional to 7,301.70, 10,076.63 and 4,116.26 is: 5,680.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.70 : 10,076.63 = 4,116.26 : x
  2. Step 2: Convert to fraction form
    7,301.70/10,076.63 = 4,116.26/x
  3. Step 3: Cross multiply
    7,301.70x = 10,076.63 × 4,116.26
  4. Step 4: Simplify right side
    7,301.70x = 41,478,033.61
  5. Step 5: Solve for x
    x = 41,478,033.61/7,301.70
  6. Step 6: Final answer
    x = 5,680.60

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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.