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Finding the Fourth Proportional to 7,026.88, 10,534.56 and 5,656

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Solution

The fourth proportional to 7,026.88, 10,534.56 and 5,656 is: 8,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.88 : 10,534.56 = 5,656 : x
  2. Step 2: Convert to fraction form
    7,026.88/10,534.56 = 5,656/x
  3. Step 3: Cross multiply
    7,026.88x = 10,534.56 × 5,656
  4. Step 4: Simplify right side
    7,026.88x = 59,583,471.36
  5. Step 5: Solve for x
    x = 59,583,471.36/7,026.88
  6. Step 6: Final answer
    x = 8,479.36

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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.