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Finding the Fourth Proportional to 11,452.50, 15,798.65 and 7,142.05

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Solution

The fourth proportional to 11,452.50, 15,798.65 and 7,142.05 is: 9,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,452.50 : 15,798.65 = 7,142.05 : x
  2. Step 2: Convert to fraction form
    11,452.50/15,798.65 = 7,142.05/x
  3. Step 3: Cross multiply
    11,452.50x = 15,798.65 × 7,142.05
  4. Step 4: Simplify right side
    11,452.50x = 112,834,748.23
  5. Step 5: Solve for x
    x = 112,834,748.23/11,452.50
  6. Step 6: Final answer
    x = 9,852.41

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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.