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Finding the Fourth Proportional to 10,284.84, 15,417.54 and 3,709.26

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Solution

The fourth proportional to 10,284.84, 15,417.54 and 3,709.26 is: 5,560.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.84 : 15,417.54 = 3,709.26 : x
  2. Step 2: Convert to fraction form
    10,284.84/15,417.54 = 3,709.26/x
  3. Step 3: Cross multiply
    10,284.84x = 15,417.54 × 3,709.26
  4. Step 4: Simplify right side
    10,284.84x = 57,187,664.42
  5. Step 5: Solve for x
    x = 57,187,664.42/10,284.84
  6. Step 6: Final answer
    x = 5,560.38

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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.