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Finding the Fourth Proportional to 7,590.34, 10,475.93 and 5,606.65

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Solution

The fourth proportional to 7,590.34, 10,475.93 and 5,606.65 is: 7,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.34 : 10,475.93 = 5,606.65 : x
  2. Step 2: Convert to fraction form
    7,590.34/10,475.93 = 5,606.65/x
  3. Step 3: Cross multiply
    7,590.34x = 10,475.93 × 5,606.65
  4. Step 4: Simplify right side
    7,590.34x = 58,734,900.05
  5. Step 5: Solve for x
    x = 58,734,900.05/7,590.34
  6. Step 6: Final answer
    x = 7,738.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.