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Finding the Fourth Proportional to 7,048.44, 9,706.86 and 5,858.64

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Solution

The fourth proportional to 7,048.44, 9,706.86 and 5,858.64 is: 8,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.44 : 9,706.86 = 5,858.64 : x
  2. Step 2: Convert to fraction form
    7,048.44/9,706.86 = 5,858.64/x
  3. Step 3: Cross multiply
    7,048.44x = 9,706.86 × 5,858.64
  4. Step 4: Simplify right side
    7,048.44x = 56,868,998.27
  5. Step 5: Solve for x
    x = 56,868,998.27/7,048.44
  6. Step 6: Final answer
    x = 8,068.31

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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.