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Finding the Fourth Proportional to 10,434.12, 15,647.94 and 3,507

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Solution

The fourth proportional to 10,434.12, 15,647.94 and 3,507 is: 5,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.12 : 15,647.94 = 3,507 : x
  2. Step 2: Convert to fraction form
    10,434.12/15,647.94 = 3,507/x
  3. Step 3: Cross multiply
    10,434.12x = 15,647.94 × 3,507
  4. Step 4: Simplify right side
    10,434.12x = 54,877,325.58
  5. Step 5: Solve for x
    x = 54,877,325.58/10,434.12
  6. Step 6: Final answer
    x = 5,259.41

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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.