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Finding the Fourth Proportional to 8,313.64, 11,475.57 and 4,957.50

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Solution

The fourth proportional to 8,313.64, 11,475.57 and 4,957.50 is: 6,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.64 : 11,475.57 = 4,957.50 : x
  2. Step 2: Convert to fraction form
    8,313.64/11,475.57 = 4,957.50/x
  3. Step 3: Cross multiply
    8,313.64x = 11,475.57 × 4,957.50
  4. Step 4: Simplify right side
    8,313.64x = 56,890,199.90
  5. Step 5: Solve for x
    x = 56,890,199.90/8,313.64
  6. Step 6: Final answer
    x = 6,843.00

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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.