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Finding the Fourth Proportional to 6,125.15, 8,461.25 and 5,897.57

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Solution

The fourth proportional to 6,125.15, 8,461.25 and 5,897.57 is: 8,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.15 : 8,461.25 = 5,897.57 : x
  2. Step 2: Convert to fraction form
    6,125.15/8,461.25 = 5,897.57/x
  3. Step 3: Cross multiply
    6,125.15x = 8,461.25 × 5,897.57
  4. Step 4: Simplify right side
    6,125.15x = 49,900,742.37
  5. Step 5: Solve for x
    x = 49,900,742.37/6,125.15
  6. Step 6: Final answer
    x = 8,146.87

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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.