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Finding the Fourth Proportional to 10,014.86, 13,804.58 and 7,887.02

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Solution

The fourth proportional to 10,014.86, 13,804.58 and 7,887.02 is: 10,871.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.86 : 13,804.58 = 7,887.02 : x
  2. Step 2: Convert to fraction form
    10,014.86/13,804.58 = 7,887.02/x
  3. Step 3: Cross multiply
    10,014.86x = 13,804.58 × 7,887.02
  4. Step 4: Simplify right side
    10,014.86x = 108,876,998.55
  5. Step 5: Solve for x
    x = 108,876,998.55/10,014.86
  6. Step 6: Final answer
    x = 10,871.54

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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.