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Finding the Fourth Proportional to 10,692.76, 16,030.48 and 4,457.48

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Solution

The fourth proportional to 10,692.76, 16,030.48 and 4,457.48 is: 6,682.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.76 : 16,030.48 = 4,457.48 : x
  2. Step 2: Convert to fraction form
    10,692.76/16,030.48 = 4,457.48/x
  3. Step 3: Cross multiply
    10,692.76x = 16,030.48 × 4,457.48
  4. Step 4: Simplify right side
    10,692.76x = 71,455,543.99
  5. Step 5: Solve for x
    x = 71,455,543.99/10,692.76
  6. Step 6: Final answer
    x = 6,682.61

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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.