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Finding the Fourth Proportional to 7,116.88, 9,816.72 and 4,726.80

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Solution

The fourth proportional to 7,116.88, 9,816.72 and 4,726.80 is: 6,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.88 : 9,816.72 = 4,726.80 : x
  2. Step 2: Convert to fraction form
    7,116.88/9,816.72 = 4,726.80/x
  3. Step 3: Cross multiply
    7,116.88x = 9,816.72 × 4,726.80
  4. Step 4: Simplify right side
    7,116.88x = 46,401,672.10
  5. Step 5: Solve for x
    x = 46,401,672.10/7,116.88
  6. Step 6: Final answer
    x = 6,519.95

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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.