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Finding the Fourth Proportional to 7,040.85, 9,715.71 and 4,207.66

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Solution

The fourth proportional to 7,040.85, 9,715.71 and 4,207.66 is: 5,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.85 : 9,715.71 = 4,207.66 : x
  2. Step 2: Convert to fraction form
    7,040.85/9,715.71 = 4,207.66/x
  3. Step 3: Cross multiply
    7,040.85x = 9,715.71 × 4,207.66
  4. Step 4: Simplify right side
    7,040.85x = 40,880,334.72
  5. Step 5: Solve for x
    x = 40,880,334.72/7,040.85
  6. Step 6: Final answer
    x = 5,806.17

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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.