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Finding the Fourth Proportional to 7,303.50, 10,956.87 and 2,686.50

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Solution

The fourth proportional to 7,303.50, 10,956.87 and 2,686.50 is: 4,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,303.50 : 10,956.87 = 2,686.50 : x
  2. Step 2: Convert to fraction form
    7,303.50/10,956.87 = 2,686.50/x
  3. Step 3: Cross multiply
    7,303.50x = 10,956.87 × 2,686.50
  4. Step 4: Simplify right side
    7,303.50x = 29,435,631.26
  5. Step 5: Solve for x
    x = 29,435,631.26/7,303.50
  6. Step 6: Final answer
    x = 4,030.35

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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.