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Finding the Fourth Proportional to 7,257.52, 10,886.28 and 1,785.52

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Solution

The fourth proportional to 7,257.52, 10,886.28 and 1,785.52 is: 2,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.52 : 10,886.28 = 1,785.52 : x
  2. Step 2: Convert to fraction form
    7,257.52/10,886.28 = 1,785.52/x
  3. Step 3: Cross multiply
    7,257.52x = 10,886.28 × 1,785.52
  4. Step 4: Simplify right side
    7,257.52x = 19,437,670.67
  5. Step 5: Solve for x
    x = 19,437,670.67/7,257.52
  6. Step 6: Final answer
    x = 2,678.28

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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.