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Finding the Fourth Proportional to 8,302.52, 11,459.16 and 4,768.16

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Solution

The fourth proportional to 8,302.52, 11,459.16 and 4,768.16 is: 6,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,302.52 : 11,459.16 = 4,768.16 : x
  2. Step 2: Convert to fraction form
    8,302.52/11,459.16 = 4,768.16/x
  3. Step 3: Cross multiply
    8,302.52x = 11,459.16 × 4,768.16
  4. Step 4: Simplify right side
    8,302.52x = 54,639,108.35
  5. Step 5: Solve for x
    x = 54,639,108.35/8,302.52
  6. Step 6: Final answer
    x = 6,581.03

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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.