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Finding the Fourth Proportional to 7,586.18, 10,468.88 and 4,228.94

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Solution

The fourth proportional to 7,586.18, 10,468.88 and 4,228.94 is: 5,835.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.18 : 10,468.88 = 4,228.94 : x
  2. Step 2: Convert to fraction form
    7,586.18/10,468.88 = 4,228.94/x
  3. Step 3: Cross multiply
    7,586.18x = 10,468.88 × 4,228.94
  4. Step 4: Simplify right side
    7,586.18x = 44,272,265.39
  5. Step 5: Solve for x
    x = 44,272,265.39/7,586.18
  6. Step 6: Final answer
    x = 5,835.91

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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.