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Finding the Fourth Proportional to 8,214.76, 12,322.14 and 2,058.76

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Solution

The fourth proportional to 8,214.76, 12,322.14 and 2,058.76 is: 3,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.76 : 12,322.14 = 2,058.76 : x
  2. Step 2: Convert to fraction form
    8,214.76/12,322.14 = 2,058.76/x
  3. Step 3: Cross multiply
    8,214.76x = 12,322.14 × 2,058.76
  4. Step 4: Simplify right side
    8,214.76x = 25,368,328.95
  5. Step 5: Solve for x
    x = 25,368,328.95/8,214.76
  6. Step 6: Final answer
    x = 3,088.14

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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.