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Finding the Fourth Proportional to 10,192.16, 15,266.64 and 7,699.52

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Solution

The fourth proportional to 10,192.16, 15,266.64 and 7,699.52 is: 11,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,192.16 : 15,266.64 = 7,699.52 : x
  2. Step 2: Convert to fraction form
    10,192.16/15,266.64 = 7,699.52/x
  3. Step 3: Cross multiply
    10,192.16x = 15,266.64 × 7,699.52
  4. Step 4: Simplify right side
    10,192.16x = 117,545,800.01
  5. Step 5: Solve for x
    x = 117,545,800.01/10,192.16
  6. Step 6: Final answer
    x = 11,532.96

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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.