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Finding the Fourth Proportional to 10,692, 16,023.86 and 7,740.30

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Solution

The fourth proportional to 10,692, 16,023.86 and 7,740.30 is: 11,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 16,023.86 = 7,740.30 : x
  2. Step 2: Convert to fraction form
    10,692/16,023.86 = 7,740.30/x
  3. Step 3: Cross multiply
    10,692x = 16,023.86 × 7,740.30
  4. Step 4: Simplify right side
    10,692x = 124,029,444.86
  5. Step 5: Solve for x
    x = 124,029,444.86/10,692
  6. Step 6: Final answer
    x = 11,600.21

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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.