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Finding the Fourth Proportional to 7,693.76, 11,533.40 and 7,009

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Solution

The fourth proportional to 7,693.76, 11,533.40 and 7,009 is: 10,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,693.76 : 11,533.40 = 7,009 : x
  2. Step 2: Convert to fraction form
    7,693.76/11,533.40 = 7,009/x
  3. Step 3: Cross multiply
    7,693.76x = 11,533.40 × 7,009
  4. Step 4: Simplify right side
    7,693.76x = 80,837,600.60
  5. Step 5: Solve for x
    x = 80,837,600.60/7,693.76
  6. Step 6: Final answer
    x = 10,506.90

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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.