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Finding the Fourth Proportional to 7,260, 10,020.03 and 4,118.01

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Solution

The fourth proportional to 7,260, 10,020.03 and 4,118.01 is: 5,683.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260 : 10,020.03 = 4,118.01 : x
  2. Step 2: Convert to fraction form
    7,260/10,020.03 = 4,118.01/x
  3. Step 3: Cross multiply
    7,260x = 10,020.03 × 4,118.01
  4. Step 4: Simplify right side
    7,260x = 41,262,583.74
  5. Step 5: Solve for x
    x = 41,262,583.74/7,260
  6. Step 6: Final answer
    x = 5,683.55

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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.