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Finding the Fourth Proportional to 10,313.64, 15,464.94 and 4,073.40

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Solution

The fourth proportional to 10,313.64, 15,464.94 and 4,073.40 is: 6,107.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.64 : 15,464.94 = 4,073.40 : x
  2. Step 2: Convert to fraction form
    10,313.64/15,464.94 = 4,073.40/x
  3. Step 3: Cross multiply
    10,313.64x = 15,464.94 × 4,073.40
  4. Step 4: Simplify right side
    10,313.64x = 62,994,886.60
  5. Step 5: Solve for x
    x = 62,994,886.60/10,313.64
  6. Step 6: Final answer
    x = 6,107.92

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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.