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Finding the Fourth Proportional to 7,897.37, 11,846.57 and 2,275.19

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Solution

The fourth proportional to 7,897.37, 11,846.57 and 2,275.19 is: 3,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.37 : 11,846.57 = 2,275.19 : x
  2. Step 2: Convert to fraction form
    7,897.37/11,846.57 = 2,275.19/x
  3. Step 3: Cross multiply
    7,897.37x = 11,846.57 × 2,275.19
  4. Step 4: Simplify right side
    7,897.37x = 26,953,126.99
  5. Step 5: Solve for x
    x = 26,953,126.99/7,897.37
  6. Step 6: Final answer
    x = 3,412.93

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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.