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Finding the Fourth Proportional to 10,552.77, 14,563.04 and 5,837.13

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Solution

The fourth proportional to 10,552.77, 14,563.04 and 5,837.13 is: 8,055.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.77 : 14,563.04 = 5,837.13 : x
  2. Step 2: Convert to fraction form
    10,552.77/14,563.04 = 5,837.13/x
  3. Step 3: Cross multiply
    10,552.77x = 14,563.04 × 5,837.13
  4. Step 4: Simplify right side
    10,552.77x = 85,006,328.49
  5. Step 5: Solve for x
    x = 85,006,328.49/10,552.77
  6. Step 6: Final answer
    x = 8,055.36

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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.