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Finding the Fourth Proportional to 11,681.75, 16,005.67 and 11,525.93

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Solution

The fourth proportional to 11,681.75, 16,005.67 and 11,525.93 is: 15,792.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.75 : 16,005.67 = 11,525.93 : x
  2. Step 2: Convert to fraction form
    11,681.75/16,005.67 = 11,525.93/x
  3. Step 3: Cross multiply
    11,681.75x = 16,005.67 × 11,525.93
  4. Step 4: Simplify right side
    11,681.75x = 184,480,232.02
  5. Step 5: Solve for x
    x = 184,480,232.02/11,681.75
  6. Step 6: Final answer
    x = 15,792.17

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.