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Finding the Fourth Proportional to 10,894.59, 16,343.71 and 8,554.50

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Solution

The fourth proportional to 10,894.59, 16,343.71 and 8,554.50 is: 12,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.59 : 16,343.71 = 8,554.50 : x
  2. Step 2: Convert to fraction form
    10,894.59/16,343.71 = 8,554.50/x
  3. Step 3: Cross multiply
    10,894.59x = 16,343.71 × 8,554.50
  4. Step 4: Simplify right side
    10,894.59x = 139,812,245.81
  5. Step 5: Solve for x
    x = 139,812,245.81/10,894.59
  6. Step 6: Final answer
    x = 12,833.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.