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Finding the Fourth Proportional to 8,128.64, 11,210.49 and 5,294.94

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Solution

The fourth proportional to 8,128.64, 11,210.49 and 5,294.94 is: 7,302.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,128.64 : 11,210.49 = 5,294.94 : x
  2. Step 2: Convert to fraction form
    8,128.64/11,210.49 = 5,294.94/x
  3. Step 3: Cross multiply
    8,128.64x = 11,210.49 × 5,294.94
  4. Step 4: Simplify right side
    8,128.64x = 59,358,871.92
  5. Step 5: Solve for x
    x = 59,358,871.92/8,128.64
  6. Step 6: Final answer
    x = 7,302.44

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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.