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Finding the Fourth Proportional to 11,946.46, 16,486.53 and 6,641.50

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Solution

The fourth proportional to 11,946.46, 16,486.53 and 6,641.50 is: 9,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.46 : 16,486.53 = 6,641.50 : x
  2. Step 2: Convert to fraction form
    11,946.46/16,486.53 = 6,641.50/x
  3. Step 3: Cross multiply
    11,946.46x = 16,486.53 × 6,641.50
  4. Step 4: Simplify right side
    11,946.46x = 109,495,289.00
  5. Step 5: Solve for x
    x = 109,495,289.00/11,946.46
  6. Step 6: Final answer
    x = 9,165.50

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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.