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Finding the Fourth Proportional to 11,558.64, 17,334.88 and 5,713.68

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Solution

The fourth proportional to 11,558.64, 17,334.88 and 5,713.68 is: 8,569.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,558.64 : 17,334.88 = 5,713.68 : x
  2. Step 2: Convert to fraction form
    11,558.64/17,334.88 = 5,713.68/x
  3. Step 3: Cross multiply
    11,558.64x = 17,334.88 × 5,713.68
  4. Step 4: Simplify right side
    11,558.64x = 99,045,957.16
  5. Step 5: Solve for x
    x = 99,045,957.16/11,558.64
  6. Step 6: Final answer
    x = 8,569.00

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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.