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Finding the Fourth Proportional to 10,967.49, 15,134.21 and 6,490.46

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Solution

The fourth proportional to 10,967.49, 15,134.21 and 6,490.46 is: 8,956.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.49 : 15,134.21 = 6,490.46 : x
  2. Step 2: Convert to fraction form
    10,967.49/15,134.21 = 6,490.46/x
  3. Step 3: Cross multiply
    10,967.49x = 15,134.21 × 6,490.46
  4. Step 4: Simplify right side
    10,967.49x = 98,227,876.51
  5. Step 5: Solve for x
    x = 98,227,876.51/10,967.49
  6. Step 6: Final answer
    x = 8,956.28

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