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Finding the Fourth Proportional to 5,165.63, 7,776.55 and 4,706.36

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Solution

The fourth proportional to 5,165.63, 7,776.55 and 4,706.36 is: 7,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.63 : 7,776.55 = 4,706.36 : x
  2. Step 2: Convert to fraction form
    5,165.63/7,776.55 = 4,706.36/x
  3. Step 3: Cross multiply
    5,165.63x = 7,776.55 × 4,706.36
  4. Step 4: Simplify right side
    5,165.63x = 36,599,181.44
  5. Step 5: Solve for x
    x = 36,599,181.44/5,165.63
  6. Step 6: Final answer
    x = 7,085.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.