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Finding the Fourth Proportional to 12,504.15, 17,255.53 and 6,838.76

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Solution

The fourth proportional to 12,504.15, 17,255.53 and 6,838.76 is: 9,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.15 : 17,255.53 = 6,838.76 : x
  2. Step 2: Convert to fraction form
    12,504.15/17,255.53 = 6,838.76/x
  3. Step 3: Cross multiply
    12,504.15x = 17,255.53 × 6,838.76
  4. Step 4: Simplify right side
    12,504.15x = 118,006,428.34
  5. Step 5: Solve for x
    x = 118,006,428.34/12,504.15
  6. Step 6: Final answer
    x = 9,437.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.