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Finding the Fourth Proportional to 10,985.42, 16,477.98 and 2,665.50

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Solution

The fourth proportional to 10,985.42, 16,477.98 and 2,665.50 is: 3,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,985.42 : 16,477.98 = 2,665.50 : x
  2. Step 2: Convert to fraction form
    10,985.42/16,477.98 = 2,665.50/x
  3. Step 3: Cross multiply
    10,985.42x = 16,477.98 × 2,665.50
  4. Step 4: Simplify right side
    10,985.42x = 43,922,055.69
  5. Step 5: Solve for x
    x = 43,922,055.69/10,985.42
  6. Step 6: Final answer
    x = 3,998.21

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Why These Related Problems?

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