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Finding the Fourth Proportional to 10,595.78, 14,621.60 and 5,879.76

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Solution

The fourth proportional to 10,595.78, 14,621.60 and 5,879.76 is: 8,113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.78 : 14,621.60 = 5,879.76 : x
  2. Step 2: Convert to fraction form
    10,595.78/14,621.60 = 5,879.76/x
  3. Step 3: Cross multiply
    10,595.78x = 14,621.60 × 5,879.76
  4. Step 4: Simplify right side
    10,595.78x = 85,971,498.82
  5. Step 5: Solve for x
    x = 85,971,498.82/10,595.78
  6. Step 6: Final answer
    x = 8,113.75

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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.