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Finding the Fourth Proportional to 10,706.58, 16,055.88 and 3,684.60

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Solution

The fourth proportional to 10,706.58, 16,055.88 and 3,684.60 is: 5,525.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.58 : 16,055.88 = 3,684.60 : x
  2. Step 2: Convert to fraction form
    10,706.58/16,055.88 = 3,684.60/x
  3. Step 3: Cross multiply
    10,706.58x = 16,055.88 × 3,684.60
  4. Step 4: Simplify right side
    10,706.58x = 59,159,495.45
  5. Step 5: Solve for x
    x = 59,159,495.45/10,706.58
  6. Step 6: Final answer
    x = 5,525.53

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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.