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Finding the Fourth Proportional to 7,309.65, 10,947.06 and 4,668.98

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Solution

The fourth proportional to 7,309.65, 10,947.06 and 4,668.98 is: 6,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.65 : 10,947.06 = 4,668.98 : x
  2. Step 2: Convert to fraction form
    7,309.65/10,947.06 = 4,668.98/x
  3. Step 3: Cross multiply
    7,309.65x = 10,947.06 × 4,668.98
  4. Step 4: Simplify right side
    7,309.65x = 51,111,631.57
  5. Step 5: Solve for x
    x = 51,111,631.57/7,309.65
  6. Step 6: Final answer
    x = 6,992.35

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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.