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Finding the Fourth Proportional to 7,678.35, 10,596.24 and 4,693.55

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Solution

The fourth proportional to 7,678.35, 10,596.24 and 4,693.55 is: 6,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.35 : 10,596.24 = 4,693.55 : x
  2. Step 2: Convert to fraction form
    7,678.35/10,596.24 = 4,693.55/x
  3. Step 3: Cross multiply
    7,678.35x = 10,596.24 × 4,693.55
  4. Step 4: Simplify right side
    7,678.35x = 49,733,929.27
  5. Step 5: Solve for x
    x = 49,733,929.27/7,678.35
  6. Step 6: Final answer
    x = 6,477.16

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