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Finding the Fourth Proportional to 7,510.56, 11,269.86 and 4,223.88

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Solution

The fourth proportional to 7,510.56, 11,269.86 and 4,223.88 is: 6,338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,510.56 : 11,269.86 = 4,223.88 : x
  2. Step 2: Convert to fraction form
    7,510.56/11,269.86 = 4,223.88/x
  3. Step 3: Cross multiply
    7,510.56x = 11,269.86 × 4,223.88
  4. Step 4: Simplify right side
    7,510.56x = 47,602,536.26
  5. Step 5: Solve for x
    x = 47,602,536.26/7,510.56
  6. Step 6: Final answer
    x = 6,338.08

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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.