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Finding the Fourth Proportional to 10,274.90, 15,408.68 and 3,699.32

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Solution

The fourth proportional to 10,274.90, 15,408.68 and 3,699.32 is: 5,547.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,274.90 : 15,408.68 = 3,699.32 : x
  2. Step 2: Convert to fraction form
    10,274.90/15,408.68 = 3,699.32/x
  3. Step 3: Cross multiply
    10,274.90x = 15,408.68 × 3,699.32
  4. Step 4: Simplify right side
    10,274.90x = 57,001,638.10
  5. Step 5: Solve for x
    x = 57,001,638.10/10,274.90
  6. Step 6: Final answer
    x = 5,547.66

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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.