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Finding the Fourth Proportional to 7,784.22, 10,729.42 and 5,516.32

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Solution

The fourth proportional to 7,784.22, 10,729.42 and 5,516.32 is: 7,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.22 : 10,729.42 = 5,516.32 : x
  2. Step 2: Convert to fraction form
    7,784.22/10,729.42 = 5,516.32/x
  3. Step 3: Cross multiply
    7,784.22x = 10,729.42 × 5,516.32
  4. Step 4: Simplify right side
    7,784.22x = 59,186,914.13
  5. Step 5: Solve for x
    x = 59,186,914.13/7,784.22
  6. Step 6: Final answer
    x = 7,603.45

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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.