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Finding the Fourth Proportional to 7,856.07, 10,840.17 and 4,498.22

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Solution

The fourth proportional to 7,856.07, 10,840.17 and 4,498.22 is: 6,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.07 : 10,840.17 = 4,498.22 : x
  2. Step 2: Convert to fraction form
    7,856.07/10,840.17 = 4,498.22/x
  3. Step 3: Cross multiply
    7,856.07x = 10,840.17 × 4,498.22
  4. Step 4: Simplify right side
    7,856.07x = 48,761,415.30
  5. Step 5: Solve for x
    x = 48,761,415.30/7,856.07
  6. Step 6: Final answer
    x = 6,206.85

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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.