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Finding the Fourth Proportional to 7,852.51, 10,838.34 and 4,497.29

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Solution

The fourth proportional to 7,852.51, 10,838.34 and 4,497.29 is: 6,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.51 : 10,838.34 = 4,497.29 : x
  2. Step 2: Convert to fraction form
    7,852.51/10,838.34 = 4,497.29/x
  3. Step 3: Cross multiply
    7,852.51x = 10,838.34 × 4,497.29
  4. Step 4: Simplify right side
    7,852.51x = 48,743,144.55
  5. Step 5: Solve for x
    x = 48,743,144.55/7,852.51
  6. Step 6: Final answer
    x = 6,207.33

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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.