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Finding the Fourth Proportional to 7,133.86, 10,652.06 and 6,388.66

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Solution

The fourth proportional to 7,133.86, 10,652.06 and 6,388.66 is: 9,539.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.86 : 10,652.06 = 6,388.66 : x
  2. Step 2: Convert to fraction form
    7,133.86/10,652.06 = 6,388.66/x
  3. Step 3: Cross multiply
    7,133.86x = 10,652.06 × 6,388.66
  4. Step 4: Simplify right side
    7,133.86x = 68,052,389.64
  5. Step 5: Solve for x
    x = 68,052,389.64/7,133.86
  6. Step 6: Final answer
    x = 9,539.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.