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Finding the Fourth Proportional to 11,129, 16,696.35 and 7,848.50

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Solution

The fourth proportional to 11,129, 16,696.35 and 7,848.50 is: 11,774.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129 : 16,696.35 = 7,848.50 : x
  2. Step 2: Convert to fraction form
    11,129/16,696.35 = 7,848.50/x
  3. Step 3: Cross multiply
    11,129x = 16,696.35 × 7,848.50
  4. Step 4: Simplify right side
    11,129x = 131,041,302.98
  5. Step 5: Solve for x
    x = 131,041,302.98/11,129
  6. Step 6: Final answer
    x = 11,774.76

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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.