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Finding the Fourth Proportional to 7,830.64, 11,745.89 and 1,987.16

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Solution

The fourth proportional to 7,830.64, 11,745.89 and 1,987.16 is: 2,980.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.64 : 11,745.89 = 1,987.16 : x
  2. Step 2: Convert to fraction form
    7,830.64/11,745.89 = 1,987.16/x
  3. Step 3: Cross multiply
    7,830.64x = 11,745.89 × 1,987.16
  4. Step 4: Simplify right side
    7,830.64x = 23,340,952.84
  5. Step 5: Solve for x
    x = 23,340,952.84/7,830.64
  6. Step 6: Final answer
    x = 2,980.72

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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.