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Finding the Fourth Proportional to 7,870.56, 11,798.52 and 2,672.82

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Solution

The fourth proportional to 7,870.56, 11,798.52 and 2,672.82 is: 4,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.56 : 11,798.52 = 2,672.82 : x
  2. Step 2: Convert to fraction form
    7,870.56/11,798.52 = 2,672.82/x
  3. Step 3: Cross multiply
    7,870.56x = 11,798.52 × 2,672.82
  4. Step 4: Simplify right side
    7,870.56x = 31,535,320.23
  5. Step 5: Solve for x
    x = 31,535,320.23/7,870.56
  6. Step 6: Final answer
    x = 4,006.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.