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Finding the Fourth Proportional to 7,860.51, 11,797.52 and 4,165.34

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Solution

The fourth proportional to 7,860.51, 11,797.52 and 4,165.34 is: 6,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.51 : 11,797.52 = 4,165.34 : x
  2. Step 2: Convert to fraction form
    7,860.51/11,797.52 = 4,165.34/x
  3. Step 3: Cross multiply
    7,860.51x = 11,797.52 × 4,165.34
  4. Step 4: Simplify right side
    7,860.51x = 49,140,602.14
  5. Step 5: Solve for x
    x = 49,140,602.14/7,860.51
  6. Step 6: Final answer
    x = 6,251.58

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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.