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Finding the Fourth Proportional to 6,518.79, 9,778.19 and 1,588.44

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Solution

The fourth proportional to 6,518.79, 9,778.19 and 1,588.44 is: 2,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.79 : 9,778.19 = 1,588.44 : x
  2. Step 2: Convert to fraction form
    6,518.79/9,778.19 = 1,588.44/x
  3. Step 3: Cross multiply
    6,518.79x = 9,778.19 × 1,588.44
  4. Step 4: Simplify right side
    6,518.79x = 15,532,060.18
  5. Step 5: Solve for x
    x = 15,532,060.18/6,518.79
  6. Step 6: Final answer
    x = 2,382.66

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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.