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Finding the Fourth Proportional to 10,223.76, 15,322.64 and 5,292.48

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Solution

The fourth proportional to 10,223.76, 15,322.64 and 5,292.48 is: 7,931.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.76 : 15,322.64 = 5,292.48 : x
  2. Step 2: Convert to fraction form
    10,223.76/15,322.64 = 5,292.48/x
  3. Step 3: Cross multiply
    10,223.76x = 15,322.64 × 5,292.48
  4. Step 4: Simplify right side
    10,223.76x = 81,094,765.75
  5. Step 5: Solve for x
    x = 81,094,765.75/10,223.76
  6. Step 6: Final answer
    x = 7,931.99

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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.