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Finding the Fourth Proportional to 10,698.31, 14,754.70 and 8,015.83

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Solution

The fourth proportional to 10,698.31, 14,754.70 and 8,015.83 is: 11,055.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.31 : 14,754.70 = 8,015.83 : x
  2. Step 2: Convert to fraction form
    10,698.31/14,754.70 = 8,015.83/x
  3. Step 3: Cross multiply
    10,698.31x = 14,754.70 × 8,015.83
  4. Step 4: Simplify right side
    10,698.31x = 118,271,166.90
  5. Step 5: Solve for x
    x = 118,271,166.90/10,698.31
  6. Step 6: Final answer
    x = 11,055.13

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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.