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Finding the Fourth Proportional to 7,758.18, 10,706.40 and 4,221.45

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Solution

The fourth proportional to 7,758.18, 10,706.40 and 4,221.45 is: 5,825.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.18 : 10,706.40 = 4,221.45 : x
  2. Step 2: Convert to fraction form
    7,758.18/10,706.40 = 4,221.45/x
  3. Step 3: Cross multiply
    7,758.18x = 10,706.40 × 4,221.45
  4. Step 4: Simplify right side
    7,758.18x = 45,196,532.28
  5. Step 5: Solve for x
    x = 45,196,532.28/7,758.18
  6. Step 6: Final answer
    x = 5,825.66

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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.