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Finding the Fourth Proportional to 7,131.44, 10,674.75 and 4,897.19

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Solution

The fourth proportional to 7,131.44, 10,674.75 and 4,897.19 is: 7,330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.44 : 10,674.75 = 4,897.19 : x
  2. Step 2: Convert to fraction form
    7,131.44/10,674.75 = 4,897.19/x
  3. Step 3: Cross multiply
    7,131.44x = 10,674.75 × 4,897.19
  4. Step 4: Simplify right side
    7,131.44x = 52,276,324.00
  5. Step 5: Solve for x
    x = 52,276,324.00/7,131.44
  6. Step 6: Final answer
    x = 7,330.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.