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Finding the Fourth Proportional to 7,187.52, 10,782.72 and 2,570.16

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Solution

The fourth proportional to 7,187.52, 10,782.72 and 2,570.16 is: 3,855.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.52 : 10,782.72 = 2,570.16 : x
  2. Step 2: Convert to fraction form
    7,187.52/10,782.72 = 2,570.16/x
  3. Step 3: Cross multiply
    7,187.52x = 10,782.72 × 2,570.16
  4. Step 4: Simplify right side
    7,187.52x = 27,713,315.64
  5. Step 5: Solve for x
    x = 27,713,315.64/7,187.52
  6. Step 6: Final answer
    x = 3,855.75

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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.