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Finding the Fourth Proportional to 10,417.53, 15,625.86 and 3,021.84

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Solution

The fourth proportional to 10,417.53, 15,625.86 and 3,021.84 is: 4,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.53 : 15,625.86 = 3,021.84 : x
  2. Step 2: Convert to fraction form
    10,417.53/15,625.86 = 3,021.84/x
  3. Step 3: Cross multiply
    10,417.53x = 15,625.86 × 3,021.84
  4. Step 4: Simplify right side
    10,417.53x = 47,218,848.78
  5. Step 5: Solve for x
    x = 47,218,848.78/10,417.53
  6. Step 6: Final answer
    x = 4,532.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.