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Finding the Fourth Proportional to 10,190.16, 15,263.64 and 7,697.52

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Solution

The fourth proportional to 10,190.16, 15,263.64 and 7,697.52 is: 11,529.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,190.16 : 15,263.64 = 7,697.52 : x
  2. Step 2: Convert to fraction form
    10,190.16/15,263.64 = 7,697.52/x
  3. Step 3: Cross multiply
    10,190.16x = 15,263.64 × 7,697.52
  4. Step 4: Simplify right side
    10,190.16x = 117,492,174.17
  5. Step 5: Solve for x
    x = 117,492,174.17/10,190.16
  6. Step 6: Final answer
    x = 11,529.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.