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Finding the Fourth Proportional to 11,926.23, 16,457.88 and 7,148.88

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Solution

The fourth proportional to 11,926.23, 16,457.88 and 7,148.88 is: 9,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.23 : 16,457.88 = 7,148.88 : x
  2. Step 2: Convert to fraction form
    11,926.23/16,457.88 = 7,148.88/x
  3. Step 3: Cross multiply
    11,926.23x = 16,457.88 × 7,148.88
  4. Step 4: Simplify right side
    11,926.23x = 117,655,374.27
  5. Step 5: Solve for x
    x = 117,655,374.27/11,926.23
  6. Step 6: Final answer
    x = 9,865.26

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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.