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Finding the Fourth Proportional to 8,283.01, 11,430.44 and 4,506.13

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Solution

The fourth proportional to 8,283.01, 11,430.44 and 4,506.13 is: 6,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.01 : 11,430.44 = 4,506.13 : x
  2. Step 2: Convert to fraction form
    8,283.01/11,430.44 = 4,506.13/x
  3. Step 3: Cross multiply
    8,283.01x = 11,430.44 × 4,506.13
  4. Step 4: Simplify right side
    8,283.01x = 51,507,069.93
  5. Step 5: Solve for x
    x = 51,507,069.93/8,283.01
  6. Step 6: Final answer
    x = 6,218.40

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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.