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Finding the Fourth Proportional to 7,712.57, 10,643.46 and 4,355.44

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Solution

The fourth proportional to 7,712.57, 10,643.46 and 4,355.44 is: 6,010.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.57 : 10,643.46 = 4,355.44 : x
  2. Step 2: Convert to fraction form
    7,712.57/10,643.46 = 4,355.44/x
  3. Step 3: Cross multiply
    7,712.57x = 10,643.46 × 4,355.44
  4. Step 4: Simplify right side
    7,712.57x = 46,356,908.48
  5. Step 5: Solve for x
    x = 46,356,908.48/7,712.57
  6. Step 6: Final answer
    x = 6,010.56

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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.