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Finding the Fourth Proportional to 11,680.76, 17,529.55 and 4,656.71

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Solution

The fourth proportional to 11,680.76, 17,529.55 and 4,656.71 is: 6,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.76 : 17,529.55 = 4,656.71 : x
  2. Step 2: Convert to fraction form
    11,680.76/17,529.55 = 4,656.71/x
  3. Step 3: Cross multiply
    11,680.76x = 17,529.55 × 4,656.71
  4. Step 4: Simplify right side
    11,680.76x = 81,630,030.78
  5. Step 5: Solve for x
    x = 81,630,030.78/11,680.76
  6. Step 6: Final answer
    x = 6,988.42

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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.