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Finding the Fourth Proportional to 11,894.04, 17,842.08 and 3,129

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Solution

The fourth proportional to 11,894.04, 17,842.08 and 3,129 is: 4,693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.04 : 17,842.08 = 3,129 : x
  2. Step 2: Convert to fraction form
    11,894.04/17,842.08 = 3,129/x
  3. Step 3: Cross multiply
    11,894.04x = 17,842.08 × 3,129
  4. Step 4: Simplify right side
    11,894.04x = 55,827,868.32
  5. Step 5: Solve for x
    x = 55,827,868.32/11,894.04
  6. Step 6: Final answer
    x = 4,693.77

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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.