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Finding the Fourth Proportional to 10,706.56, 16,063.64 and 4,782.90

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Solution

The fourth proportional to 10,706.56, 16,063.64 and 4,782.90 is: 7,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.56 : 16,063.64 = 4,782.90 : x
  2. Step 2: Convert to fraction form
    10,706.56/16,063.64 = 4,782.90/x
  3. Step 3: Cross multiply
    10,706.56x = 16,063.64 × 4,782.90
  4. Step 4: Simplify right side
    10,706.56x = 76,830,783.76
  5. Step 5: Solve for x
    x = 76,830,783.76/10,706.56
  6. Step 6: Final answer
    x = 7,176.05

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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.