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Finding the Fourth Proportional to 7,865.19, 10,856.09 and 4,637.82

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Solution

The fourth proportional to 7,865.19, 10,856.09 and 4,637.82 is: 6,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.19 : 10,856.09 = 4,637.82 : x
  2. Step 2: Convert to fraction form
    7,865.19/10,856.09 = 4,637.82/x
  3. Step 3: Cross multiply
    7,865.19x = 10,856.09 × 4,637.82
  4. Step 4: Simplify right side
    7,865.19x = 50,348,591.32
  5. Step 5: Solve for x
    x = 50,348,591.32/7,865.19
  6. Step 6: Final answer
    x = 6,401.45

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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.