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Finding the Fourth Proportional to 7,048.31, 9,704.45 and 5,364.32

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Solution

The fourth proportional to 7,048.31, 9,704.45 and 5,364.32 is: 7,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,048.31 : 9,704.45 = 5,364.32 : x
  2. Step 2: Convert to fraction form
    7,048.31/9,704.45 = 5,364.32/x
  3. Step 3: Cross multiply
    7,048.31x = 9,704.45 × 5,364.32
  4. Step 4: Simplify right side
    7,048.31x = 52,057,699.88
  5. Step 5: Solve for x
    x = 52,057,699.88/7,048.31
  6. Step 6: Final answer
    x = 7,385.85

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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.