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Finding the Fourth Proportional to 10,525.64, 14,525.47 and 5,745.62

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Solution

The fourth proportional to 10,525.64, 14,525.47 and 5,745.62 is: 7,929.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,525.64 : 14,525.47 = 5,745.62 : x
  2. Step 2: Convert to fraction form
    10,525.64/14,525.47 = 5,745.62/x
  3. Step 3: Cross multiply
    10,525.64x = 14,525.47 × 5,745.62
  4. Step 4: Simplify right side
    10,525.64x = 83,457,830.94
  5. Step 5: Solve for x
    x = 83,457,830.94/10,525.64
  6. Step 6: Final answer
    x = 7,929.00

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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.