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Finding the Fourth Proportional to 7,800.89, 11,697.74 and 3,116.95

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Solution

The fourth proportional to 7,800.89, 11,697.74 and 3,116.95 is: 4,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.89 : 11,697.74 = 3,116.95 : x
  2. Step 2: Convert to fraction form
    7,800.89/11,697.74 = 3,116.95/x
  3. Step 3: Cross multiply
    7,800.89x = 11,697.74 × 3,116.95
  4. Step 4: Simplify right side
    7,800.89x = 36,461,280.86
  5. Step 5: Solve for x
    x = 36,461,280.86/7,800.89
  6. Step 6: Final answer
    x = 4,673.99

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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.