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Finding the Fourth Proportional to 7,142.61, 10,701.72 and 5,059.16

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Solution

The fourth proportional to 7,142.61, 10,701.72 and 5,059.16 is: 7,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.61 : 10,701.72 = 5,059.16 : x
  2. Step 2: Convert to fraction form
    7,142.61/10,701.72 = 5,059.16/x
  3. Step 3: Cross multiply
    7,142.61x = 10,701.72 × 5,059.16
  4. Step 4: Simplify right side
    7,142.61x = 54,141,660.25
  5. Step 5: Solve for x
    x = 54,141,660.25/7,142.61
  6. Step 6: Final answer
    x = 7,580.09

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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.