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Finding the Fourth Proportional to 8,597.84, 11,871.72 and 6,605.24

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Solution

The fourth proportional to 8,597.84, 11,871.72 and 6,605.24 is: 9,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.84 : 11,871.72 = 6,605.24 : x
  2. Step 2: Convert to fraction form
    8,597.84/11,871.72 = 6,605.24/x
  3. Step 3: Cross multiply
    8,597.84x = 11,871.72 × 6,605.24
  4. Step 4: Simplify right side
    8,597.84x = 78,415,559.81
  5. Step 5: Solve for x
    x = 78,415,559.81/8,597.84
  6. Step 6: Final answer
    x = 9,120.38

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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.