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Finding the Fourth Proportional to 6,013.53, 8,300.99 and 5,382.94

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Solution

The fourth proportional to 6,013.53, 8,300.99 and 5,382.94 is: 7,430.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.53 : 8,300.99 = 5,382.94 : x
  2. Step 2: Convert to fraction form
    6,013.53/8,300.99 = 5,382.94/x
  3. Step 3: Cross multiply
    6,013.53x = 8,300.99 × 5,382.94
  4. Step 4: Simplify right side
    6,013.53x = 44,683,731.11
  5. Step 5: Solve for x
    x = 44,683,731.11/6,013.53
  6. Step 6: Final answer
    x = 7,430.53

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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.