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Finding the Fourth Proportional to 7,709.09, 10,638.59 and 4,352.04

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Solution

The fourth proportional to 7,709.09, 10,638.59 and 4,352.04 is: 6,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.09 : 10,638.59 = 4,352.04 : x
  2. Step 2: Convert to fraction form
    7,709.09/10,638.59 = 4,352.04/x
  3. Step 3: Cross multiply
    7,709.09x = 10,638.59 × 4,352.04
  4. Step 4: Simplify right side
    7,709.09x = 46,299,569.22
  5. Step 5: Solve for x
    x = 46,299,569.22/7,709.09
  6. Step 6: Final answer
    x = 6,005.84

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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.