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Finding the Fourth Proportional to 8,698.56, 12,000.88 and 5,716

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Solution

The fourth proportional to 8,698.56, 12,000.88 and 5,716 is: 7,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,698.56 : 12,000.88 = 5,716 : x
  2. Step 2: Convert to fraction form
    8,698.56/12,000.88 = 5,716/x
  3. Step 3: Cross multiply
    8,698.56x = 12,000.88 × 5,716
  4. Step 4: Simplify right side
    8,698.56x = 68,597,030.08
  5. Step 5: Solve for x
    x = 68,597,030.08/8,698.56
  6. Step 6: Final answer
    x = 7,886.02

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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.