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Finding the Fourth Proportional to 7,055.72, 10,583.14 and 3,159.08

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Solution

The fourth proportional to 7,055.72, 10,583.14 and 3,159.08 is: 4,738.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,055.72 : 10,583.14 = 3,159.08 : x
  2. Step 2: Convert to fraction form
    7,055.72/10,583.14 = 3,159.08/x
  3. Step 3: Cross multiply
    7,055.72x = 10,583.14 × 3,159.08
  4. Step 4: Simplify right side
    7,055.72x = 33,432,985.91
  5. Step 5: Solve for x
    x = 33,432,985.91/7,055.72
  6. Step 6: Final answer
    x = 4,738.42

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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.