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Finding the Fourth Proportional to 11,302.56, 16,973.28 and 6,112.08

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Solution

The fourth proportional to 11,302.56, 16,973.28 and 6,112.08 is: 9,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.56 : 16,973.28 = 6,112.08 : x
  2. Step 2: Convert to fraction form
    11,302.56/16,973.28 = 6,112.08/x
  3. Step 3: Cross multiply
    11,302.56x = 16,973.28 × 6,112.08
  4. Step 4: Simplify right side
    11,302.56x = 103,742,045.22
  5. Step 5: Solve for x
    x = 103,742,045.22/11,302.56
  6. Step 6: Final answer
    x = 9,178.63

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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.