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Finding the Fourth Proportional to 7,006.58, 10,509.82 and 2,076.24

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Solution

The fourth proportional to 7,006.58, 10,509.82 and 2,076.24 is: 3,114.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.58 : 10,509.82 = 2,076.24 : x
  2. Step 2: Convert to fraction form
    7,006.58/10,509.82 = 2,076.24/x
  3. Step 3: Cross multiply
    7,006.58x = 10,509.82 × 2,076.24
  4. Step 4: Simplify right side
    7,006.58x = 21,820,903.49
  5. Step 5: Solve for x
    x = 21,820,903.49/7,006.58
  6. Step 6: Final answer
    x = 3,114.35

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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.