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Finding the Fourth Proportional to 7,055.84, 10,584.16 and 2,126.16

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Solution

The fourth proportional to 7,055.84, 10,584.16 and 2,126.16 is: 3,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.84 : 10,584.16 = 2,126.16 : x
  2. Step 2: Convert to fraction form
    7,055.84/10,584.16 = 2,126.16/x
  3. Step 3: Cross multiply
    7,055.84x = 10,584.16 × 2,126.16
  4. Step 4: Simplify right side
    7,055.84x = 22,503,617.63
  5. Step 5: Solve for x
    x = 22,503,617.63/7,055.84
  6. Step 6: Final answer
    x = 3,189.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.