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Finding the Fourth Proportional to 7,105.02, 9,804.15 and 5,005.50

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Solution

The fourth proportional to 7,105.02, 9,804.15 and 5,005.50 is: 6,907.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.02 : 9,804.15 = 5,005.50 : x
  2. Step 2: Convert to fraction form
    7,105.02/9,804.15 = 5,005.50/x
  3. Step 3: Cross multiply
    7,105.02x = 9,804.15 × 5,005.50
  4. Step 4: Simplify right side
    7,105.02x = 49,074,672.83
  5. Step 5: Solve for x
    x = 49,074,672.83/7,105.02
  6. Step 6: Final answer
    x = 6,907.04

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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.