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Finding the Fourth Proportional to 7,116.90, 9,811.44 and 4,462.54

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Solution

The fourth proportional to 7,116.90, 9,811.44 and 4,462.54 is: 6,152.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.90 : 9,811.44 = 4,462.54 : x
  2. Step 2: Convert to fraction form
    7,116.90/9,811.44 = 4,462.54/x
  3. Step 3: Cross multiply
    7,116.90x = 9,811.44 × 4,462.54
  4. Step 4: Simplify right side
    7,116.90x = 43,783,943.46
  5. Step 5: Solve for x
    x = 43,783,943.46/7,116.90
  6. Step 6: Final answer
    x = 6,152.11

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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.