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Finding the Fourth Proportional to 12,064.86, 16,647.13 and 7,586.01

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Solution

The fourth proportional to 12,064.86, 16,647.13 and 7,586.01 is: 10,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,064.86 : 16,647.13 = 7,586.01 : x
  2. Step 2: Convert to fraction form
    12,064.86/16,647.13 = 7,586.01/x
  3. Step 3: Cross multiply
    12,064.86x = 16,647.13 × 7,586.01
  4. Step 4: Simplify right side
    12,064.86x = 126,285,326.51
  5. Step 5: Solve for x
    x = 126,285,326.51/12,064.86
  6. Step 6: Final answer
    x = 10,467.20

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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.