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Finding the Fourth Proportional to 7,277.44, 10,053.84 and 5,877.76

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Solution

The fourth proportional to 7,277.44, 10,053.84 and 5,877.76 is: 8,120.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.44 : 10,053.84 = 5,877.76 : x
  2. Step 2: Convert to fraction form
    7,277.44/10,053.84 = 5,877.76/x
  3. Step 3: Cross multiply
    7,277.44x = 10,053.84 × 5,877.76
  4. Step 4: Simplify right side
    7,277.44x = 59,094,058.60
  5. Step 5: Solve for x
    x = 59,094,058.60/7,277.44
  6. Step 6: Final answer
    x = 8,120.17

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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.