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Finding the Fourth Proportional to 11,812.29, 16,298.58 and 8,978.91

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Solution

The fourth proportional to 11,812.29, 16,298.58 and 8,978.91 is: 12,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,812.29 : 16,298.58 = 8,978.91 : x
  2. Step 2: Convert to fraction form
    11,812.29/16,298.58 = 8,978.91/x
  3. Step 3: Cross multiply
    11,812.29x = 16,298.58 × 8,978.91
  4. Step 4: Simplify right side
    11,812.29x = 146,343,482.95
  5. Step 5: Solve for x
    x = 146,343,482.95/11,812.29
  6. Step 6: Final answer
    x = 12,389.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.