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Finding the Fourth Proportional to 10,487.07, 15,698.03 and 7,838.96

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Solution

The fourth proportional to 10,487.07, 15,698.03 and 7,838.96 is: 11,734.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.07 : 15,698.03 = 7,838.96 : x
  2. Step 2: Convert to fraction form
    10,487.07/15,698.03 = 7,838.96/x
  3. Step 3: Cross multiply
    10,487.07x = 15,698.03 × 7,838.96
  4. Step 4: Simplify right side
    10,487.07x = 123,056,111.56
  5. Step 5: Solve for x
    x = 123,056,111.56/10,487.07
  6. Step 6: Final answer
    x = 11,734.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.