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Finding the Fourth Proportional to 6,518.60, 9,777.92 and 1,588.24

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Solution

The fourth proportional to 6,518.60, 9,777.92 and 1,588.24 is: 2,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518.60 : 9,777.92 = 1,588.24 : x
  2. Step 2: Convert to fraction form
    6,518.60/9,777.92 = 1,588.24/x
  3. Step 3: Cross multiply
    6,518.60x = 9,777.92 × 1,588.24
  4. Step 4: Simplify right side
    6,518.60x = 15,529,683.66
  5. Step 5: Solve for x
    x = 15,529,683.66/6,518.60
  6. Step 6: Final answer
    x = 2,382.36

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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.