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Finding the Fourth Proportional to 8,312.93, 12,429.30 and 8,116.10

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Solution

The fourth proportional to 8,312.93, 12,429.30 and 8,116.10 is: 12,135.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,312.93 : 12,429.30 = 8,116.10 : x
  2. Step 2: Convert to fraction form
    8,312.93/12,429.30 = 8,116.10/x
  3. Step 3: Cross multiply
    8,312.93x = 12,429.30 × 8,116.10
  4. Step 4: Simplify right side
    8,312.93x = 100,877,441.73
  5. Step 5: Solve for x
    x = 100,877,441.73/8,312.93
  6. Step 6: Final answer
    x = 12,135.00

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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.