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Finding the Fourth Proportional to 10,145.52, 14,000.76 and 5,669.28

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Solution

The fourth proportional to 10,145.52, 14,000.76 and 5,669.28 is: 7,823.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.52 : 14,000.76 = 5,669.28 : x
  2. Step 2: Convert to fraction form
    10,145.52/14,000.76 = 5,669.28/x
  3. Step 3: Cross multiply
    10,145.52x = 14,000.76 × 5,669.28
  4. Step 4: Simplify right side
    10,145.52x = 79,374,228.65
  5. Step 5: Solve for x
    x = 79,374,228.65/10,145.52
  6. Step 6: Final answer
    x = 7,823.57

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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.