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Finding the Fourth Proportional to 7,235.50, 10,845.06 and 4,307.66

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Solution

The fourth proportional to 7,235.50, 10,845.06 and 4,307.66 is: 6,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.50 : 10,845.06 = 4,307.66 : x
  2. Step 2: Convert to fraction form
    7,235.50/10,845.06 = 4,307.66/x
  3. Step 3: Cross multiply
    7,235.50x = 10,845.06 × 4,307.66
  4. Step 4: Simplify right side
    7,235.50x = 46,716,831.16
  5. Step 5: Solve for x
    x = 46,716,831.16/7,235.50
  6. Step 6: Final answer
    x = 6,456.61

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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.