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Finding the Fourth Proportional to 7,456.93, 10,290.51 and 4,099.66

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Solution

The fourth proportional to 7,456.93, 10,290.51 and 4,099.66 is: 5,657.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.93 : 10,290.51 = 4,099.66 : x
  2. Step 2: Convert to fraction form
    7,456.93/10,290.51 = 4,099.66/x
  3. Step 3: Cross multiply
    7,456.93x = 10,290.51 × 4,099.66
  4. Step 4: Simplify right side
    7,456.93x = 42,187,566.50
  5. Step 5: Solve for x
    x = 42,187,566.50/7,456.93
  6. Step 6: Final answer
    x = 5,657.50

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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.