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Finding the Fourth Proportional to 7,698.76, 11,468.69 and 7,220.68

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Solution

The fourth proportional to 7,698.76, 11,468.69 and 7,220.68 is: 10,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.76 : 11,468.69 = 7,220.68 : x
  2. Step 2: Convert to fraction form
    7,698.76/11,468.69 = 7,220.68/x
  3. Step 3: Cross multiply
    7,698.76x = 11,468.69 × 7,220.68
  4. Step 4: Simplify right side
    7,698.76x = 82,811,740.51
  5. Step 5: Solve for x
    x = 82,811,740.51/7,698.76
  6. Step 6: Final answer
    x = 10,756.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.