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Finding the Fourth Proportional to 7,065.54, 10,590.96 and 4,601.52

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Solution

The fourth proportional to 7,065.54, 10,590.96 and 4,601.52 is: 6,897.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.54 : 10,590.96 = 4,601.52 : x
  2. Step 2: Convert to fraction form
    7,065.54/10,590.96 = 4,601.52/x
  3. Step 3: Cross multiply
    7,065.54x = 10,590.96 × 4,601.52
  4. Step 4: Simplify right side
    7,065.54x = 48,734,514.26
  5. Step 5: Solve for x
    x = 48,734,514.26/7,065.54
  6. Step 6: Final answer
    x = 6,897.49

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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.