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Finding the Fourth Proportional to 10,457.67, 14,428.07 and 5,978.25

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Solution

The fourth proportional to 10,457.67, 14,428.07 and 5,978.25 is: 8,247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,457.67 : 14,428.07 = 5,978.25 : x
  2. Step 2: Convert to fraction form
    10,457.67/14,428.07 = 5,978.25/x
  3. Step 3: Cross multiply
    10,457.67x = 14,428.07 × 5,978.25
  4. Step 4: Simplify right side
    10,457.67x = 86,254,609.48
  5. Step 5: Solve for x
    x = 86,254,609.48/10,457.67
  6. Step 6: Final answer
    x = 8,247.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.