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Finding the Fourth Proportional to 7,977.64, 11,012.74 and 5,710.76

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Solution

The fourth proportional to 7,977.64, 11,012.74 and 5,710.76 is: 7,883.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,977.64 : 11,012.74 = 5,710.76 : x
  2. Step 2: Convert to fraction form
    7,977.64/11,012.74 = 5,710.76/x
  3. Step 3: Cross multiply
    7,977.64x = 11,012.74 × 5,710.76
  4. Step 4: Simplify right side
    7,977.64x = 62,891,115.08
  5. Step 5: Solve for x
    x = 62,891,115.08/7,977.64
  6. Step 6: Final answer
    x = 7,883.42

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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.