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Finding the Fourth Proportional to 10,627.33, 14,668.80 and 7,090.53

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Solution

The fourth proportional to 10,627.33, 14,668.80 and 7,090.53 is: 9,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,627.33 : 14,668.80 = 7,090.53 : x
  2. Step 2: Convert to fraction form
    10,627.33/14,668.80 = 7,090.53/x
  3. Step 3: Cross multiply
    10,627.33x = 14,668.80 × 7,090.53
  4. Step 4: Simplify right side
    10,627.33x = 104,009,566.46
  5. Step 5: Solve for x
    x = 104,009,566.46/10,627.33
  6. Step 6: Final answer
    x = 9,786.99

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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.