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Finding the Fourth Proportional to 8,880.48, 13,321.44 and 5,796

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Solution

The fourth proportional to 8,880.48, 13,321.44 and 5,796 is: 8,694.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,880.48 : 13,321.44 = 5,796 : x
  2. Step 2: Convert to fraction form
    8,880.48/13,321.44 = 5,796/x
  3. Step 3: Cross multiply
    8,880.48x = 13,321.44 × 5,796
  4. Step 4: Simplify right side
    8,880.48x = 77,211,066.24
  5. Step 5: Solve for x
    x = 77,211,066.24/8,880.48
  6. Step 6: Final answer
    x = 8,694.47

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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.