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Finding the Fourth Proportional to 7,456.98, 10,286.35 and 4,657.62

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Solution

The fourth proportional to 7,456.98, 10,286.35 and 4,657.62 is: 6,424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.98 : 10,286.35 = 4,657.62 : x
  2. Step 2: Convert to fraction form
    7,456.98/10,286.35 = 4,657.62/x
  3. Step 3: Cross multiply
    7,456.98x = 10,286.35 × 4,657.62
  4. Step 4: Simplify right side
    7,456.98x = 47,909,909.49
  5. Step 5: Solve for x
    x = 47,909,909.49/7,456.98
  6. Step 6: Final answer
    x = 6,424.84

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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.