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Finding the Fourth Proportional to 7,840.96, 10,820.16 and 4,304.23

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Solution

The fourth proportional to 7,840.96, 10,820.16 and 4,304.23 is: 5,939.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.96 : 10,820.16 = 4,304.23 : x
  2. Step 2: Convert to fraction form
    7,840.96/10,820.16 = 4,304.23/x
  3. Step 3: Cross multiply
    7,840.96x = 10,820.16 × 4,304.23
  4. Step 4: Simplify right side
    7,840.96x = 46,572,430.23
  5. Step 5: Solve for x
    x = 46,572,430.23/7,840.96
  6. Step 6: Final answer
    x = 5,939.64

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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.