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Finding the Fourth Proportional to 10,851.42, 14,969.55 and 7,308.48

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Solution

The fourth proportional to 10,851.42, 14,969.55 and 7,308.48 is: 10,082.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,851.42 : 14,969.55 = 7,308.48 : x
  2. Step 2: Convert to fraction form
    10,851.42/14,969.55 = 7,308.48/x
  3. Step 3: Cross multiply
    10,851.42x = 14,969.55 × 7,308.48
  4. Step 4: Simplify right side
    10,851.42x = 109,404,656.78
  5. Step 5: Solve for x
    x = 109,404,656.78/10,851.42
  6. Step 6: Final answer
    x = 10,082.06

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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.