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Finding the Fourth Proportional to 10,902.52, 15,045.06 and 6,186.52

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Solution

The fourth proportional to 10,902.52, 15,045.06 and 6,186.52 is: 8,537.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.52 : 15,045.06 = 6,186.52 : x
  2. Step 2: Convert to fraction form
    10,902.52/15,045.06 = 6,186.52/x
  3. Step 3: Cross multiply
    10,902.52x = 15,045.06 × 6,186.52
  4. Step 4: Simplify right side
    10,902.52x = 93,076,564.59
  5. Step 5: Solve for x
    x = 93,076,564.59/10,902.52
  6. Step 6: Final answer
    x = 8,537.16

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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.