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Finding the Fourth Proportional to 7,143.66, 10,709.55 and 4,956.66

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Solution

The fourth proportional to 7,143.66, 10,709.55 and 4,956.66 is: 7,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.66 : 10,709.55 = 4,956.66 : x
  2. Step 2: Convert to fraction form
    7,143.66/10,709.55 = 4,956.66/x
  3. Step 3: Cross multiply
    7,143.66x = 10,709.55 × 4,956.66
  4. Step 4: Simplify right side
    7,143.66x = 53,083,598.10
  5. Step 5: Solve for x
    x = 53,083,598.10/7,143.66
  6. Step 6: Final answer
    x = 7,430.87

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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.