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Finding the Fourth Proportional to 8,526.28, 11,768.08 and 5,730.16

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Solution

The fourth proportional to 8,526.28, 11,768.08 and 5,730.16 is: 7,908.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.28 : 11,768.08 = 5,730.16 : x
  2. Step 2: Convert to fraction form
    8,526.28/11,768.08 = 5,730.16/x
  3. Step 3: Cross multiply
    8,526.28x = 11,768.08 × 5,730.16
  4. Step 4: Simplify right side
    8,526.28x = 67,432,915.67
  5. Step 5: Solve for x
    x = 67,432,915.67/8,526.28
  6. Step 6: Final answer
    x = 7,908.84

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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.