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Finding the Fourth Proportional to 7,750.14, 10,695.48 and 4,300.82

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Solution

The fourth proportional to 7,750.14, 10,695.48 and 4,300.82 is: 5,935.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.14 : 10,695.48 = 4,300.82 : x
  2. Step 2: Convert to fraction form
    7,750.14/10,695.48 = 4,300.82/x
  3. Step 3: Cross multiply
    7,750.14x = 10,695.48 × 4,300.82
  4. Step 4: Simplify right side
    7,750.14x = 45,999,334.29
  5. Step 5: Solve for x
    x = 45,999,334.29/7,750.14
  6. Step 6: Final answer
    x = 5,935.29

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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.