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Finding the Fourth Proportional to 7,856.58, 10,776.28 and 7,433.76

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Solution

The fourth proportional to 7,856.58, 10,776.28 and 7,433.76 is: 10,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856.58 : 10,776.28 = 7,433.76 : x
  2. Step 2: Convert to fraction form
    7,856.58/10,776.28 = 7,433.76/x
  3. Step 3: Cross multiply
    7,856.58x = 10,776.28 × 7,433.76
  4. Step 4: Simplify right side
    7,856.58x = 80,108,279.21
  5. Step 5: Solve for x
    x = 80,108,279.21/7,856.58
  6. Step 6: Final answer
    x = 10,196.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.