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Finding the Fourth Proportional to 7,946.16, 10,965.78 and 4,409.72

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Solution

The fourth proportional to 7,946.16, 10,965.78 and 4,409.72 is: 6,085.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,946.16 : 10,965.78 = 4,409.72 : x
  2. Step 2: Convert to fraction form
    7,946.16/10,965.78 = 4,409.72/x
  3. Step 3: Cross multiply
    7,946.16x = 10,965.78 × 4,409.72
  4. Step 4: Simplify right side
    7,946.16x = 48,356,019.38
  5. Step 5: Solve for x
    x = 48,356,019.38/7,946.16
  6. Step 6: Final answer
    x = 6,085.46

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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.