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Finding the Fourth Proportional to 10,510.80, 14,505 and 5,794.96

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Solution

The fourth proportional to 10,510.80, 14,505 and 5,794.96 is: 7,997.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.80 : 14,505 = 5,794.96 : x
  2. Step 2: Convert to fraction form
    10,510.80/14,505 = 5,794.96/x
  3. Step 3: Cross multiply
    10,510.80x = 14,505 × 5,794.96
  4. Step 4: Simplify right side
    10,510.80x = 84,055,894.80
  5. Step 5: Solve for x
    x = 84,055,894.80/10,510.80
  6. Step 6: Final answer
    x = 7,997.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.