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Finding the Fourth Proportional to 10,500.99, 14,493.47 and 6,027.77

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Solution

The fourth proportional to 10,500.99, 14,493.47 and 6,027.77 is: 8,319.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.99 : 14,493.47 = 6,027.77 : x
  2. Step 2: Convert to fraction form
    10,500.99/14,493.47 = 6,027.77/x
  3. Step 3: Cross multiply
    10,500.99x = 14,493.47 × 6,027.77
  4. Step 4: Simplify right side
    10,500.99x = 87,363,303.66
  5. Step 5: Solve for x
    x = 87,363,303.66/10,500.99
  6. Step 6: Final answer
    x = 8,319.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.