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Finding the Fourth Proportional to 7,153.84, 9,871.87 and 4,170.16

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Solution

The fourth proportional to 7,153.84, 9,871.87 and 4,170.16 is: 5,754.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.84 : 9,871.87 = 4,170.16 : x
  2. Step 2: Convert to fraction form
    7,153.84/9,871.87 = 4,170.16/x
  3. Step 3: Cross multiply
    7,153.84x = 9,871.87 × 4,170.16
  4. Step 4: Simplify right side
    7,153.84x = 41,167,277.40
  5. Step 5: Solve for x
    x = 41,167,277.40/7,153.84
  6. Step 6: Final answer
    x = 5,754.57

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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.