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Finding the Fourth Proportional to 10,510.58, 14,505.27 and 5,795.30

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Solution

The fourth proportional to 10,510.58, 14,505.27 and 5,795.30 is: 7,997.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.58 : 14,505.27 = 5,795.30 : x
  2. Step 2: Convert to fraction form
    10,510.58/14,505.27 = 5,795.30/x
  3. Step 3: Cross multiply
    10,510.58x = 14,505.27 × 5,795.30
  4. Step 4: Simplify right side
    10,510.58x = 84,062,391.23
  5. Step 5: Solve for x
    x = 84,062,391.23/10,510.58
  6. Step 6: Final answer
    x = 7,997.88

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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.