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Finding the Fourth Proportional to 10,553.18, 14,562.93 and 5,837.15

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Solution

The fourth proportional to 10,553.18, 14,562.93 and 5,837.15 is: 8,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,553.18 : 14,562.93 = 5,837.15 : x
  2. Step 2: Convert to fraction form
    10,553.18/14,562.93 = 5,837.15/x
  3. Step 3: Cross multiply
    10,553.18x = 14,562.93 × 5,837.15
  4. Step 4: Simplify right side
    10,553.18x = 85,005,934.03
  5. Step 5: Solve for x
    x = 85,005,934.03/10,553.18
  6. Step 6: Final answer
    x = 8,055.01

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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.