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Finding the Fourth Proportional to 8,430.25, 11,633.54 and 4,653.40

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Solution

The fourth proportional to 8,430.25, 11,633.54 and 4,653.40 is: 6,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430.25 : 11,633.54 = 4,653.40 : x
  2. Step 2: Convert to fraction form
    8,430.25/11,633.54 = 4,653.40/x
  3. Step 3: Cross multiply
    8,430.25x = 11,633.54 × 4,653.40
  4. Step 4: Simplify right side
    8,430.25x = 54,135,491.77
  5. Step 5: Solve for x
    x = 54,135,491.77/8,430.25
  6. Step 6: Final answer
    x = 6,421.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.