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Finding the Fourth Proportional to 10,445.71, 14,415.30 and 5,729.99

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Solution

The fourth proportional to 10,445.71, 14,415.30 and 5,729.99 is: 7,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,445.71 : 14,415.30 = 5,729.99 : x
  2. Step 2: Convert to fraction form
    10,445.71/14,415.30 = 5,729.99/x
  3. Step 3: Cross multiply
    10,445.71x = 14,415.30 × 5,729.99
  4. Step 4: Simplify right side
    10,445.71x = 82,599,452.77
  5. Step 5: Solve for x
    x = 82,599,452.77/10,445.71
  6. Step 6: Final answer
    x = 7,907.50

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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.