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Finding the Fourth Proportional to 7,301.54, 10,074.29 and 4,114.19

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Solution

The fourth proportional to 7,301.54, 10,074.29 and 4,114.19 is: 5,676.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,301.54 : 10,074.29 = 4,114.19 : x
  2. Step 2: Convert to fraction form
    7,301.54/10,074.29 = 4,114.19/x
  3. Step 3: Cross multiply
    7,301.54x = 10,074.29 × 4,114.19
  4. Step 4: Simplify right side
    7,301.54x = 41,447,543.18
  5. Step 5: Solve for x
    x = 41,447,543.18/7,301.54
  6. Step 6: Final answer
    x = 5,676.55

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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.