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Finding the Fourth Proportional to 8,597.76, 11,866.08 and 4,872

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Solution

The fourth proportional to 8,597.76, 11,866.08 and 4,872 is: 6,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.76 : 11,866.08 = 4,872 : x
  2. Step 2: Convert to fraction form
    8,597.76/11,866.08 = 4,872/x
  3. Step 3: Cross multiply
    8,597.76x = 11,866.08 × 4,872
  4. Step 4: Simplify right side
    8,597.76x = 57,811,541.76
  5. Step 5: Solve for x
    x = 57,811,541.76/8,597.76
  6. Step 6: Final answer
    x = 6,724.02

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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.