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Finding the Fourth Proportional to 7,007.60, 10,513.80 and 3,114.80

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Solution

The fourth proportional to 7,007.60, 10,513.80 and 3,114.80 is: 4,673.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.60 : 10,513.80 = 3,114.80 : x
  2. Step 2: Convert to fraction form
    7,007.60/10,513.80 = 3,114.80/x
  3. Step 3: Cross multiply
    7,007.60x = 10,513.80 × 3,114.80
  4. Step 4: Simplify right side
    7,007.60x = 32,748,384.24
  5. Step 5: Solve for x
    x = 32,748,384.24/7,007.60
  6. Step 6: Final answer
    x = 4,673.27

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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.