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Finding the Fourth Proportional to 10,596.48, 15,883.26 and 4,668.08

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Solution

The fourth proportional to 10,596.48, 15,883.26 and 4,668.08 is: 6,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.48 : 15,883.26 = 4,668.08 : x
  2. Step 2: Convert to fraction form
    10,596.48/15,883.26 = 4,668.08/x
  3. Step 3: Cross multiply
    10,596.48x = 15,883.26 × 4,668.08
  4. Step 4: Simplify right side
    10,596.48x = 74,144,328.34
  5. Step 5: Solve for x
    x = 74,144,328.34/10,596.48
  6. Step 6: Final answer
    x = 6,997.07

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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.