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Finding the Fourth Proportional to 7,758.48, 10,706.25 and 4,355.18

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Solution

The fourth proportional to 7,758.48, 10,706.25 and 4,355.18 is: 6,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.48 : 10,706.25 = 4,355.18 : x
  2. Step 2: Convert to fraction form
    7,758.48/10,706.25 = 4,355.18/x
  3. Step 3: Cross multiply
    7,758.48x = 10,706.25 × 4,355.18
  4. Step 4: Simplify right side
    7,758.48x = 46,627,645.88
  5. Step 5: Solve for x
    x = 46,627,645.88/7,758.48
  6. Step 6: Final answer
    x = 6,009.89

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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.