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Finding the Fourth Proportional to 8,430.10, 11,633.33 and 4,653.27

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Solution

The fourth proportional to 8,430.10, 11,633.33 and 4,653.27 is: 6,421.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.10 : 11,633.33 = 4,653.27 : x
  2. Step 2: Convert to fraction form
    8,430.10/11,633.33 = 4,653.27/x
  3. Step 3: Cross multiply
    8,430.10x = 11,633.33 × 4,653.27
  4. Step 4: Simplify right side
    8,430.10x = 54,133,076.38
  5. Step 5: Solve for x
    x = 54,133,076.38/8,430.10
  6. Step 6: Final answer
    x = 6,421.40

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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.