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Finding the Fourth Proportional to 7,846.12, 10,826.16 and 5,330.24

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Solution

The fourth proportional to 7,846.12, 10,826.16 and 5,330.24 is: 7,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.12 : 10,826.16 = 5,330.24 : x
  2. Step 2: Convert to fraction form
    7,846.12/10,826.16 = 5,330.24/x
  3. Step 3: Cross multiply
    7,846.12x = 10,826.16 × 5,330.24
  4. Step 4: Simplify right side
    7,846.12x = 57,706,031.08
  5. Step 5: Solve for x
    x = 57,706,031.08/7,846.12
  6. Step 6: Final answer
    x = 7,354.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.