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Finding the Fourth Proportional to 7,003.66, 10,505.08 and 3,106.76

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Solution

The fourth proportional to 7,003.66, 10,505.08 and 3,106.76 is: 4,659.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.66 : 10,505.08 = 3,106.76 : x
  2. Step 2: Convert to fraction form
    7,003.66/10,505.08 = 3,106.76/x
  3. Step 3: Cross multiply
    7,003.66x = 10,505.08 × 3,106.76
  4. Step 4: Simplify right side
    7,003.66x = 32,636,762.34
  5. Step 5: Solve for x
    x = 32,636,762.34/7,003.66
  6. Step 6: Final answer
    x = 4,659.96

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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.