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Finding the Fourth Proportional to 7,307.81, 10,084.79 and 4,164

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Solution

The fourth proportional to 7,307.81, 10,084.79 and 4,164 is: 5,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.81 : 10,084.79 = 4,164 : x
  2. Step 2: Convert to fraction form
    7,307.81/10,084.79 = 4,164/x
  3. Step 3: Cross multiply
    7,307.81x = 10,084.79 × 4,164
  4. Step 4: Simplify right side
    7,307.81x = 41,993,044.74
  5. Step 5: Solve for x
    x = 41,993,044.74/7,307.81
  6. Step 6: Final answer
    x = 5,746.32

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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.