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Finding the Fourth Proportional to 11,430.64, 17,141.91 and 5,185.41

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Solution

The fourth proportional to 11,430.64, 17,141.91 and 5,185.41 is: 7,776.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.64 : 17,141.91 = 5,185.41 : x
  2. Step 2: Convert to fraction form
    11,430.64/17,141.91 = 5,185.41/x
  3. Step 3: Cross multiply
    11,430.64x = 17,141.91 × 5,185.41
  4. Step 4: Simplify right side
    11,430.64x = 88,887,831.53
  5. Step 5: Solve for x
    x = 88,887,831.53/11,430.64
  6. Step 6: Final answer
    x = 7,776.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.