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Finding the Fourth Proportional to 7,008.24, 10,513.38 and 2,077.24

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Solution

The fourth proportional to 7,008.24, 10,513.38 and 2,077.24 is: 3,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.24 : 10,513.38 = 2,077.24 : x
  2. Step 2: Convert to fraction form
    7,008.24/10,513.38 = 2,077.24/x
  3. Step 3: Cross multiply
    7,008.24x = 10,513.38 × 2,077.24
  4. Step 4: Simplify right side
    7,008.24x = 21,838,813.47
  5. Step 5: Solve for x
    x = 21,838,813.47/7,008.24
  6. Step 6: Final answer
    x = 3,116.16

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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.