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Finding the Fourth Proportional to 10,210.51, 14,092.03 and 6,233.93

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Solution

The fourth proportional to 10,210.51, 14,092.03 and 6,233.93 is: 8,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,210.51 : 14,092.03 = 6,233.93 : x
  2. Step 2: Convert to fraction form
    10,210.51/14,092.03 = 6,233.93/x
  3. Step 3: Cross multiply
    10,210.51x = 14,092.03 × 6,233.93
  4. Step 4: Simplify right side
    10,210.51x = 87,848,728.58
  5. Step 5: Solve for x
    x = 87,848,728.58/10,210.51
  6. Step 6: Final answer
    x = 8,603.76

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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.