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Finding the Fourth Proportional to 11,322.36, 15,625.64 and 6,543.16

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Solution

The fourth proportional to 11,322.36, 15,625.64 and 6,543.16 is: 9,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.36 : 15,625.64 = 6,543.16 : x
  2. Step 2: Convert to fraction form
    11,322.36/15,625.64 = 6,543.16/x
  3. Step 3: Cross multiply
    11,322.36x = 15,625.64 × 6,543.16
  4. Step 4: Simplify right side
    11,322.36x = 102,241,062.62
  5. Step 5: Solve for x
    x = 102,241,062.62/11,322.36
  6. Step 6: Final answer
    x = 9,030.01

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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.