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Finding the Fourth Proportional to 7,157.96, 10,740.78 and 3,053

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Solution

The fourth proportional to 7,157.96, 10,740.78 and 3,053 is: 4,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.96 : 10,740.78 = 3,053 : x
  2. Step 2: Convert to fraction form
    7,157.96/10,740.78 = 3,053/x
  3. Step 3: Cross multiply
    7,157.96x = 10,740.78 × 3,053
  4. Step 4: Simplify right side
    7,157.96x = 32,791,601.34
  5. Step 5: Solve for x
    x = 32,791,601.34/7,157.96
  6. Step 6: Final answer
    x = 4,581.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.