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Finding the Fourth Proportional to 10,254.42, 15,325.44 and 7,486.92

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Solution

The fourth proportional to 10,254.42, 15,325.44 and 7,486.92 is: 11,189.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.42 : 15,325.44 = 7,486.92 : x
  2. Step 2: Convert to fraction form
    10,254.42/15,325.44 = 7,486.92/x
  3. Step 3: Cross multiply
    10,254.42x = 15,325.44 × 7,486.92
  4. Step 4: Simplify right side
    10,254.42x = 114,740,343.24
  5. Step 5: Solve for x
    x = 114,740,343.24/10,254.42
  6. Step 6: Final answer
    x = 11,189.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.