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Finding the Fourth Proportional to 10,662.54, 14,701.23 and 8,767.50

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Solution

The fourth proportional to 10,662.54, 14,701.23 and 8,767.50 is: 12,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.54 : 14,701.23 = 8,767.50 : x
  2. Step 2: Convert to fraction form
    10,662.54/14,701.23 = 8,767.50/x
  3. Step 3: Cross multiply
    10,662.54x = 14,701.23 × 8,767.50
  4. Step 4: Simplify right side
    10,662.54x = 128,893,034.03
  5. Step 5: Solve for x
    x = 128,893,034.03/10,662.54
  6. Step 6: Final answer
    x = 12,088.40

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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.