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Finding the Fourth Proportional to 10,778.55, 16,156.74 and 5,837.76

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Solution

The fourth proportional to 10,778.55, 16,156.74 and 5,837.76 is: 8,750.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,778.55 : 16,156.74 = 5,837.76 : x
  2. Step 2: Convert to fraction form
    10,778.55/16,156.74 = 5,837.76/x
  3. Step 3: Cross multiply
    10,778.55x = 16,156.74 × 5,837.76
  4. Step 4: Simplify right side
    10,778.55x = 94,319,170.50
  5. Step 5: Solve for x
    x = 94,319,170.50/10,778.55
  6. Step 6: Final answer
    x = 8,750.64

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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.