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Finding the Fourth Proportional to 8,223.40, 11,345.70 and 4,686.40

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Solution

The fourth proportional to 8,223.40, 11,345.70 and 4,686.40 is: 6,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.40 : 11,345.70 = 4,686.40 : x
  2. Step 2: Convert to fraction form
    8,223.40/11,345.70 = 4,686.40/x
  3. Step 3: Cross multiply
    8,223.40x = 11,345.70 × 4,686.40
  4. Step 4: Simplify right side
    8,223.40x = 53,170,488.48
  5. Step 5: Solve for x
    x = 53,170,488.48/8,223.40
  6. Step 6: Final answer
    x = 6,465.75

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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.