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Finding the Fourth Proportional to 7,095.93, 10,645.59 and 3,200.33

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Solution

The fourth proportional to 7,095.93, 10,645.59 and 3,200.33 is: 4,801.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.93 : 10,645.59 = 3,200.33 : x
  2. Step 2: Convert to fraction form
    7,095.93/10,645.59 = 3,200.33/x
  3. Step 3: Cross multiply
    7,095.93x = 10,645.59 × 3,200.33
  4. Step 4: Simplify right side
    7,095.93x = 34,069,347.82
  5. Step 5: Solve for x
    x = 34,069,347.82/7,095.93
  6. Step 6: Final answer
    x = 4,801.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.