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Finding the Fourth Proportional to 11,605.51, 16,014.36 and 6,568.93

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Solution

The fourth proportional to 11,605.51, 16,014.36 and 6,568.93 is: 9,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.51 : 16,014.36 = 6,568.93 : x
  2. Step 2: Convert to fraction form
    11,605.51/16,014.36 = 6,568.93/x
  3. Step 3: Cross multiply
    11,605.51x = 16,014.36 × 6,568.93
  4. Step 4: Simplify right side
    11,605.51x = 105,197,209.83
  5. Step 5: Solve for x
    x = 105,197,209.83/11,605.51
  6. Step 6: Final answer
    x = 9,064.42

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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.