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Finding the Fourth Proportional to 11,316.51, 15,616.71 and 6,537.17

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Solution

The fourth proportional to 11,316.51, 15,616.71 and 6,537.17 is: 9,021.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,316.51 : 15,616.71 = 6,537.17 : x
  2. Step 2: Convert to fraction form
    11,316.51/15,616.71 = 6,537.17/x
  3. Step 3: Cross multiply
    11,316.51x = 15,616.71 × 6,537.17
  4. Step 4: Simplify right side
    11,316.51x = 102,089,127.15
  5. Step 5: Solve for x
    x = 102,089,127.15/11,316.51
  6. Step 6: Final answer
    x = 9,021.26

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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.