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Finding the Fourth Proportional to 10,455.98, 15,685.36 and 5,525.82

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Solution

The fourth proportional to 10,455.98, 15,685.36 and 5,525.82 is: 8,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.98 : 15,685.36 = 5,525.82 : x
  2. Step 2: Convert to fraction form
    10,455.98/15,685.36 = 5,525.82/x
  3. Step 3: Cross multiply
    10,455.98x = 15,685.36 × 5,525.82
  4. Step 4: Simplify right side
    10,455.98x = 86,674,476.00
  5. Step 5: Solve for x
    x = 86,674,476.00/10,455.98
  6. Step 6: Final answer
    x = 8,289.46

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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.