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Finding the Fourth Proportional to 11,164.19, 15,406.78 and 6,128.88

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Solution

The fourth proportional to 11,164.19, 15,406.78 and 6,128.88 is: 8,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.19 : 15,406.78 = 6,128.88 : x
  2. Step 2: Convert to fraction form
    11,164.19/15,406.78 = 6,128.88/x
  3. Step 3: Cross multiply
    11,164.19x = 15,406.78 × 6,128.88
  4. Step 4: Simplify right side
    11,164.19x = 94,426,305.81
  5. Step 5: Solve for x
    x = 94,426,305.81/11,164.19
  6. Step 6: Final answer
    x = 8,457.96

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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.