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Finding the Fourth Proportional to 7,895.64, 10,895.78 and 5,203.56

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Solution

The fourth proportional to 7,895.64, 10,895.78 and 5,203.56 is: 7,180.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.64 : 10,895.78 = 5,203.56 : x
  2. Step 2: Convert to fraction form
    7,895.64/10,895.78 = 5,203.56/x
  3. Step 3: Cross multiply
    7,895.64x = 10,895.78 × 5,203.56
  4. Step 4: Simplify right side
    7,895.64x = 56,696,844.98
  5. Step 5: Solve for x
    x = 56,696,844.98/7,895.64
  6. Step 6: Final answer
    x = 7,180.78

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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.