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Finding the Fourth Proportional to 7,883.86, 10,895.40 and 6,465.34

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Solution

The fourth proportional to 7,883.86, 10,895.40 and 6,465.34 is: 8,935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,883.86 : 10,895.40 = 6,465.34 : x
  2. Step 2: Convert to fraction form
    7,883.86/10,895.40 = 6,465.34/x
  3. Step 3: Cross multiply
    7,883.86x = 10,895.40 × 6,465.34
  4. Step 4: Simplify right side
    7,883.86x = 70,442,465.44
  5. Step 5: Solve for x
    x = 70,442,465.44/7,883.86
  6. Step 6: Final answer
    x = 8,935.02

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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.