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Finding the Fourth Proportional to 7,281.64, 10,895.92 and 6,305.94

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Solution

The fourth proportional to 7,281.64, 10,895.92 and 6,305.94 is: 9,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,281.64 : 10,895.92 = 6,305.94 : x
  2. Step 2: Convert to fraction form
    7,281.64/10,895.92 = 6,305.94/x
  3. Step 3: Cross multiply
    7,281.64x = 10,895.92 × 6,305.94
  4. Step 4: Simplify right side
    7,281.64x = 68,709,017.76
  5. Step 5: Solve for x
    x = 68,709,017.76/7,281.64
  6. Step 6: Final answer
    x = 9,435.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.