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Finding the Fourth Proportional to 8,699.61, 13,033.01 and 6,742.24

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Solution

The fourth proportional to 8,699.61, 13,033.01 and 6,742.24 is: 10,100.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,699.61 : 13,033.01 = 6,742.24 : x
  2. Step 2: Convert to fraction form
    8,699.61/13,033.01 = 6,742.24/x
  3. Step 3: Cross multiply
    8,699.61x = 13,033.01 × 6,742.24
  4. Step 4: Simplify right side
    8,699.61x = 87,871,681.34
  5. Step 5: Solve for x
    x = 87,871,681.34/8,699.61
  6. Step 6: Final answer
    x = 10,100.65

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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.