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Finding the Fourth Proportional to 7,636.42, 10,459.28 and 7,188.10

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Solution

The fourth proportional to 7,636.42, 10,459.28 and 7,188.10 is: 9,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,636.42 : 10,459.28 = 7,188.10 : x
  2. Step 2: Convert to fraction form
    7,636.42/10,459.28 = 7,188.10/x
  3. Step 3: Cross multiply
    7,636.42x = 10,459.28 × 7,188.10
  4. Step 4: Simplify right side
    7,636.42x = 75,182,350.57
  5. Step 5: Solve for x
    x = 75,182,350.57/7,636.42
  6. Step 6: Final answer
    x = 9,845.24

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.