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Finding the Fourth Proportional to 10,416.86, 15,627.64 and 3,301.53

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Solution

The fourth proportional to 10,416.86, 15,627.64 and 3,301.53 is: 4,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.86 : 15,627.64 = 3,301.53 : x
  2. Step 2: Convert to fraction form
    10,416.86/15,627.64 = 3,301.53/x
  3. Step 3: Cross multiply
    10,416.86x = 15,627.64 × 3,301.53
  4. Step 4: Simplify right side
    10,416.86x = 51,595,122.29
  5. Step 5: Solve for x
    x = 51,595,122.29/10,416.86
  6. Step 6: Final answer
    x = 4,953.04

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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.