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Finding the Fourth Proportional to 8,225.64, 11,343.87 and 7,035.12

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Solution

The fourth proportional to 8,225.64, 11,343.87 and 7,035.12 is: 9,702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.64 : 11,343.87 = 7,035.12 : x
  2. Step 2: Convert to fraction form
    8,225.64/11,343.87 = 7,035.12/x
  3. Step 3: Cross multiply
    8,225.64x = 11,343.87 × 7,035.12
  4. Step 4: Simplify right side
    8,225.64x = 79,805,486.71
  5. Step 5: Solve for x
    x = 79,805,486.71/8,225.64
  6. Step 6: Final answer
    x = 9,702.04

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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.