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Finding the Fourth Proportional to 11,748.54, 16,211.48 and 6,713.08

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Solution

The fourth proportional to 11,748.54, 16,211.48 and 6,713.08 is: 9,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.54 : 16,211.48 = 6,713.08 : x
  2. Step 2: Convert to fraction form
    11,748.54/16,211.48 = 6,713.08/x
  3. Step 3: Cross multiply
    11,748.54x = 16,211.48 × 6,713.08
  4. Step 4: Simplify right side
    11,748.54x = 108,828,962.16
  5. Step 5: Solve for x
    x = 108,828,962.16/11,748.54
  6. Step 6: Final answer
    x = 9,263.19

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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.