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Finding the Fourth Proportional to 10,956.48, 15,116.94 and 6,478.26

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Solution

The fourth proportional to 10,956.48, 15,116.94 and 6,478.26 is: 8,938.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.48 : 15,116.94 = 6,478.26 : x
  2. Step 2: Convert to fraction form
    10,956.48/15,116.94 = 6,478.26/x
  3. Step 3: Cross multiply
    10,956.48x = 15,116.94 × 6,478.26
  4. Step 4: Simplify right side
    10,956.48x = 97,931,467.72
  5. Step 5: Solve for x
    x = 97,931,467.72/10,956.48
  6. Step 6: Final answer
    x = 8,938.22

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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.