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Finding the Fourth Proportional to 8,931.96, 13,388.74 and 6,011.10

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Solution

The fourth proportional to 8,931.96, 13,388.74 and 6,011.10 is: 9,010.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.96 : 13,388.74 = 6,011.10 : x
  2. Step 2: Convert to fraction form
    8,931.96/13,388.74 = 6,011.10/x
  3. Step 3: Cross multiply
    8,931.96x = 13,388.74 × 6,011.10
  4. Step 4: Simplify right side
    8,931.96x = 80,481,055.01
  5. Step 5: Solve for x
    x = 80,481,055.01/8,931.96
  6. Step 6: Final answer
    x = 9,010.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.