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Finding the Fourth Proportional to 10,015.86, 13,805.96 and 7,888.02

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Solution

The fourth proportional to 10,015.86, 13,805.96 and 7,888.02 is: 10,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,015.86 : 13,805.96 = 7,888.02 : x
  2. Step 2: Convert to fraction form
    10,015.86/13,805.96 = 7,888.02/x
  3. Step 3: Cross multiply
    10,015.86x = 13,805.96 × 7,888.02
  4. Step 4: Simplify right side
    10,015.86x = 108,901,688.60
  5. Step 5: Solve for x
    x = 108,901,688.60/10,015.86
  6. Step 6: Final answer
    x = 10,872.92

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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.