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Finding the Fourth Proportional to 11,407.36, 17,117.44 and 6,213.60

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Solution

The fourth proportional to 11,407.36, 17,117.44 and 6,213.60 is: 9,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.36 : 17,117.44 = 6,213.60 : x
  2. Step 2: Convert to fraction form
    11,407.36/17,117.44 = 6,213.60/x
  3. Step 3: Cross multiply
    11,407.36x = 17,117.44 × 6,213.60
  4. Step 4: Simplify right side
    11,407.36x = 106,360,925.18
  5. Step 5: Solve for x
    x = 106,360,925.18/11,407.36
  6. Step 6: Final answer
    x = 9,323.89

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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.