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Finding the Fourth Proportional to 6,706.16, 10,059.76 and 1,775.68

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Solution

The fourth proportional to 6,706.16, 10,059.76 and 1,775.68 is: 2,663.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.16 : 10,059.76 = 1,775.68 : x
  2. Step 2: Convert to fraction form
    6,706.16/10,059.76 = 1,775.68/x
  3. Step 3: Cross multiply
    6,706.16x = 10,059.76 × 1,775.68
  4. Step 4: Simplify right side
    6,706.16x = 17,862,914.64
  5. Step 5: Solve for x
    x = 17,862,914.64/6,706.16
  6. Step 6: Final answer
    x = 2,663.66

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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.