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Finding the Fourth Proportional to 7,264.58, 10,897.64 and 2,585.03

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Solution

The fourth proportional to 7,264.58, 10,897.64 and 2,585.03 is: 3,877.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.58 : 10,897.64 = 2,585.03 : x
  2. Step 2: Convert to fraction form
    7,264.58/10,897.64 = 2,585.03/x
  3. Step 3: Cross multiply
    7,264.58x = 10,897.64 × 2,585.03
  4. Step 4: Simplify right side
    7,264.58x = 28,170,658.92
  5. Step 5: Solve for x
    x = 28,170,658.92/7,264.58
  6. Step 6: Final answer
    x = 3,877.81

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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.