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Finding the Fourth Proportional to 10,001.86, 13,803.14 and 6,024.25

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Solution

The fourth proportional to 10,001.86, 13,803.14 and 6,024.25 is: 8,313.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,001.86 : 13,803.14 = 6,024.25 : x
  2. Step 2: Convert to fraction form
    10,001.86/13,803.14 = 6,024.25/x
  3. Step 3: Cross multiply
    10,001.86x = 13,803.14 × 6,024.25
  4. Step 4: Simplify right side
    10,001.86x = 83,153,566.15
  5. Step 5: Solve for x
    x = 83,153,566.15/10,001.86
  6. Step 6: Final answer
    x = 8,313.81

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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.