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Finding the Fourth Proportional to 7,120.56, 9,813.06 and 5,127.60

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Solution

The fourth proportional to 7,120.56, 9,813.06 and 5,127.60 is: 7,066.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.56 : 9,813.06 = 5,127.60 : x
  2. Step 2: Convert to fraction form
    7,120.56/9,813.06 = 5,127.60/x
  3. Step 3: Cross multiply
    7,120.56x = 9,813.06 × 5,127.60
  4. Step 4: Simplify right side
    7,120.56x = 50,317,446.46
  5. Step 5: Solve for x
    x = 50,317,446.46/7,120.56
  6. Step 6: Final answer
    x = 7,066.50

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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.