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Finding the Fourth Proportional to 7,128.26, 9,840.51 and 4,477.13

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Solution

The fourth proportional to 7,128.26, 9,840.51 and 4,477.13 is: 6,180.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.26 : 9,840.51 = 4,477.13 : x
  2. Step 2: Convert to fraction form
    7,128.26/9,840.51 = 4,477.13/x
  3. Step 3: Cross multiply
    7,128.26x = 9,840.51 × 4,477.13
  4. Step 4: Simplify right side
    7,128.26x = 44,057,230.24
  5. Step 5: Solve for x
    x = 44,057,230.24/7,128.26
  6. Step 6: Final answer
    x = 6,180.64

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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.