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Finding the Fourth Proportional to 8,074.64, 12,111.96 and 2,810

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Solution

The fourth proportional to 8,074.64, 12,111.96 and 2,810 is: 4,215.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.64 : 12,111.96 = 2,810 : x
  2. Step 2: Convert to fraction form
    8,074.64/12,111.96 = 2,810/x
  3. Step 3: Cross multiply
    8,074.64x = 12,111.96 × 2,810
  4. Step 4: Simplify right side
    8,074.64x = 34,034,607.60
  5. Step 5: Solve for x
    x = 34,034,607.60/8,074.64
  6. Step 6: Final answer
    x = 4,215.00

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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.