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Finding the Fourth Proportional to 7,570.98, 10,449.66 and 4,215

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Solution

The fourth proportional to 7,570.98, 10,449.66 and 4,215 is: 5,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.98 : 10,449.66 = 4,215 : x
  2. Step 2: Convert to fraction form
    7,570.98/10,449.66 = 4,215/x
  3. Step 3: Cross multiply
    7,570.98x = 10,449.66 × 4,215
  4. Step 4: Simplify right side
    7,570.98x = 44,045,316.90
  5. Step 5: Solve for x
    x = 44,045,316.90/7,570.98
  6. Step 6: Final answer
    x = 5,817.65

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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.