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Finding the Fourth Proportional to 35,864, 53,804.64 and 11,240

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Solution

The fourth proportional to 35,864, 53,804.64 and 11,240 is: 16,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,864 : 53,804.64 = 11,240 : x
  2. Step 2: Convert to fraction form
    35,864/53,804.64 = 11,240/x
  3. Step 3: Cross multiply
    35,864x = 53,804.64 × 11,240
  4. Step 4: Simplify right side
    35,864x = 604,764,153.60
  5. Step 5: Solve for x
    x = 604,764,153.60/35,864
  6. Step 6: Final answer
    x = 16,862.71

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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.