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Finding the Fourth Proportional to 7,381.22, 10,182.93 and 6,874.16

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Solution

The fourth proportional to 7,381.22, 10,182.93 and 6,874.16 is: 9,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.22 : 10,182.93 = 6,874.16 : x
  2. Step 2: Convert to fraction form
    7,381.22/10,182.93 = 6,874.16/x
  3. Step 3: Cross multiply
    7,381.22x = 10,182.93 × 6,874.16
  4. Step 4: Simplify right side
    7,381.22x = 69,999,090.09
  5. Step 5: Solve for x
    x = 69,999,090.09/7,381.22
  6. Step 6: Final answer
    x = 9,483.40

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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.