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Finding the Fourth Proportional to 8,357.84, 11,534.60 and 4,633.04

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Solution

The fourth proportional to 8,357.84, 11,534.60 and 4,633.04 is: 6,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.84 : 11,534.60 = 4,633.04 : x
  2. Step 2: Convert to fraction form
    8,357.84/11,534.60 = 4,633.04/x
  3. Step 3: Cross multiply
    8,357.84x = 11,534.60 × 4,633.04
  4. Step 4: Simplify right side
    8,357.84x = 53,440,263.18
  5. Step 5: Solve for x
    x = 53,440,263.18/8,357.84
  6. Step 6: Final answer
    x = 6,394.03

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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.