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Finding the Fourth Proportional to 10,457.39, 15,688.01 and 3,437.80

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Solution

The fourth proportional to 10,457.39, 15,688.01 and 3,437.80 is: 5,157.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.39 : 15,688.01 = 3,437.80 : x
  2. Step 2: Convert to fraction form
    10,457.39/15,688.01 = 3,437.80/x
  3. Step 3: Cross multiply
    10,457.39x = 15,688.01 × 3,437.80
  4. Step 4: Simplify right side
    10,457.39x = 53,932,240.78
  5. Step 5: Solve for x
    x = 53,932,240.78/10,457.39
  6. Step 6: Final answer
    x = 5,157.33

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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.