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Finding the Fourth Proportional to 10,441.53, 15,658.95 and 3,419.64

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Solution

The fourth proportional to 10,441.53, 15,658.95 and 3,419.64 is: 5,128.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.53 : 15,658.95 = 3,419.64 : x
  2. Step 2: Convert to fraction form
    10,441.53/15,658.95 = 3,419.64/x
  3. Step 3: Cross multiply
    10,441.53x = 15,658.95 × 3,419.64
  4. Step 4: Simplify right side
    10,441.53x = 53,547,971.78
  5. Step 5: Solve for x
    x = 53,547,971.78/10,441.53
  6. Step 6: Final answer
    x = 5,128.36

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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.