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Finding the Fourth Proportional to 10,148.24, 14,004.53 and 5,671.99

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Solution

The fourth proportional to 10,148.24, 14,004.53 and 5,671.99 is: 7,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,148.24 : 14,004.53 = 5,671.99 : x
  2. Step 2: Convert to fraction form
    10,148.24/14,004.53 = 5,671.99/x
  3. Step 3: Cross multiply
    10,148.24x = 14,004.53 × 5,671.99
  4. Step 4: Simplify right side
    10,148.24x = 79,433,554.11
  5. Step 5: Solve for x
    x = 79,433,554.11/10,148.24
  6. Step 6: Final answer
    x = 7,827.32

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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.