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Finding the Fourth Proportional to 4,681.74, 7,016.70 and 4,095.34

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Solution

The fourth proportional to 4,681.74, 7,016.70 and 4,095.34 is: 6,137.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,681.74 : 7,016.70 = 4,095.34 : x
  2. Step 2: Convert to fraction form
    4,681.74/7,016.70 = 4,095.34/x
  3. Step 3: Cross multiply
    4,681.74x = 7,016.70 × 4,095.34
  4. Step 4: Simplify right side
    4,681.74x = 28,735,772.18
  5. Step 5: Solve for x
    x = 28,735,772.18/4,681.74
  6. Step 6: Final answer
    x = 6,137.84

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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.