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Finding the Fourth Proportional to 10,938.72, 15,094.06 and 6,158.07

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Solution

The fourth proportional to 10,938.72, 15,094.06 and 6,158.07 is: 8,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.72 : 15,094.06 = 6,158.07 : x
  2. Step 2: Convert to fraction form
    10,938.72/15,094.06 = 6,158.07/x
  3. Step 3: Cross multiply
    10,938.72x = 15,094.06 × 6,158.07
  4. Step 4: Simplify right side
    10,938.72x = 92,950,278.06
  5. Step 5: Solve for x
    x = 92,950,278.06/10,938.72
  6. Step 6: Final answer
    x = 8,497.36

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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.