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Finding the Fourth Proportional to 10,634.96, 14,668.62 and 7,803.20

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Solution

The fourth proportional to 10,634.96, 14,668.62 and 7,803.20 is: 10,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.96 : 14,668.62 = 7,803.20 : x
  2. Step 2: Convert to fraction form
    10,634.96/14,668.62 = 7,803.20/x
  3. Step 3: Cross multiply
    10,634.96x = 14,668.62 × 7,803.20
  4. Step 4: Simplify right side
    10,634.96x = 114,462,175.58
  5. Step 5: Solve for x
    x = 114,462,175.58/10,634.96
  6. Step 6: Final answer
    x = 10,762.82

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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.