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Finding the Fourth Proportional to 7,008.21, 9,677.75 and 5,815.35

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Solution

The fourth proportional to 7,008.21, 9,677.75 and 5,815.35 is: 8,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,008.21 : 9,677.75 = 5,815.35 : x
  2. Step 2: Convert to fraction form
    7,008.21/9,677.75 = 5,815.35/x
  3. Step 3: Cross multiply
    7,008.21x = 9,677.75 × 5,815.35
  4. Step 4: Simplify right side
    7,008.21x = 56,279,474.39
  5. Step 5: Solve for x
    x = 56,279,474.39/7,008.21
  6. Step 6: Final answer
    x = 8,030.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.