Home / 7,201.12-10,802.40-2,584

Finding the Fourth Proportional to 7,201.12, 10,802.40 and 2,584

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Solution

The fourth proportional to 7,201.12, 10,802.40 and 2,584 is: 3,876.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.12 : 10,802.40 = 2,584 : x
  2. Step 2: Convert to fraction form
    7,201.12/10,802.40 = 2,584/x
  3. Step 3: Cross multiply
    7,201.12x = 10,802.40 × 2,584
  4. Step 4: Simplify right side
    7,201.12x = 27,913,401.60
  5. Step 5: Solve for x
    x = 27,913,401.60/7,201.12
  6. Step 6: Final answer
    x = 3,876.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.