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Finding the Fourth Proportional to 10,185.74, 14,055.93 and 5,937.02

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Solution

The fourth proportional to 10,185.74, 14,055.93 and 5,937.02 is: 8,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,185.74 : 14,055.93 = 5,937.02 : x
  2. Step 2: Convert to fraction form
    10,185.74/14,055.93 = 5,937.02/x
  3. Step 3: Cross multiply
    10,185.74x = 14,055.93 × 5,937.02
  4. Step 4: Simplify right side
    10,185.74x = 83,450,337.53
  5. Step 5: Solve for x
    x = 83,450,337.53/10,185.74
  6. Step 6: Final answer
    x = 8,192.86

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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.