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Finding the Fourth Proportional to 7,047.93, 10,573.50 and 2,117.66

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Solution

The fourth proportional to 7,047.93, 10,573.50 and 2,117.66 is: 3,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.93 : 10,573.50 = 2,117.66 : x
  2. Step 2: Convert to fraction form
    7,047.93/10,573.50 = 2,117.66/x
  3. Step 3: Cross multiply
    7,047.93x = 10,573.50 × 2,117.66
  4. Step 4: Simplify right side
    7,047.93x = 22,391,025.14
  5. Step 5: Solve for x
    x = 22,391,025.14/7,047.93
  6. Step 6: Final answer
    x = 3,176.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.