Home / 10,206.52-14,084.54-5,730.18

Finding the Fourth Proportional to 10,206.52, 14,084.54 and 5,730.18

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Solution

The fourth proportional to 10,206.52, 14,084.54 and 5,730.18 is: 7,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.52 : 14,084.54 = 5,730.18 : x
  2. Step 2: Convert to fraction form
    10,206.52/14,084.54 = 5,730.18/x
  3. Step 3: Cross multiply
    10,206.52x = 14,084.54 × 5,730.18
  4. Step 4: Simplify right side
    10,206.52x = 80,706,949.42
  5. Step 5: Solve for x
    x = 80,706,949.42/10,206.52
  6. Step 6: Final answer
    x = 7,907.39

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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.