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Finding the Fourth Proportional to 7,303.26, 10,078.02 and 4,946.16

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Solution

The fourth proportional to 7,303.26, 10,078.02 and 4,946.16 is: 6,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.26 : 10,078.02 = 4,946.16 : x
  2. Step 2: Convert to fraction form
    7,303.26/10,078.02 = 4,946.16/x
  3. Step 3: Cross multiply
    7,303.26x = 10,078.02 × 4,946.16
  4. Step 4: Simplify right side
    7,303.26x = 49,847,499.40
  5. Step 5: Solve for x
    x = 49,847,499.40/7,303.26
  6. Step 6: Final answer
    x = 6,825.38

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Why These Related Problems?

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