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Finding the Fourth Proportional to 10,525.71, 14,525.57 and 5,745.69

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Solution

The fourth proportional to 10,525.71, 14,525.57 and 5,745.69 is: 7,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.71 : 14,525.57 = 5,745.69 : x
  2. Step 2: Convert to fraction form
    10,525.71/14,525.57 = 5,745.69/x
  3. Step 3: Cross multiply
    10,525.71x = 14,525.57 × 5,745.69
  4. Step 4: Simplify right side
    10,525.71x = 83,459,393.56
  5. Step 5: Solve for x
    x = 83,459,393.56/10,525.71
  6. Step 6: Final answer
    x = 7,929.10

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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.