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Finding the Fourth Proportional to 11,569.78, 17,354.51 and 2,804.77

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Solution

The fourth proportional to 11,569.78, 17,354.51 and 2,804.77 is: 4,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.78 : 17,354.51 = 2,804.77 : x
  2. Step 2: Convert to fraction form
    11,569.78/17,354.51 = 2,804.77/x
  3. Step 3: Cross multiply
    11,569.78x = 17,354.51 × 2,804.77
  4. Step 4: Simplify right side
    11,569.78x = 48,675,308.22
  5. Step 5: Solve for x
    x = 48,675,308.22/11,569.78
  6. Step 6: Final answer
    x = 4,207.11

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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.