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Finding the Fourth Proportional to 7,668.36, 11,505.78 and 4,898.16

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Solution

The fourth proportional to 7,668.36, 11,505.78 and 4,898.16 is: 7,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,668.36 : 11,505.78 = 4,898.16 : x
  2. Step 2: Convert to fraction form
    7,668.36/11,505.78 = 4,898.16/x
  3. Step 3: Cross multiply
    7,668.36x = 11,505.78 × 4,898.16
  4. Step 4: Simplify right side
    7,668.36x = 56,357,151.36
  5. Step 5: Solve for x
    x = 56,357,151.36/7,668.36
  6. Step 6: Final answer
    x = 7,349.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.