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Finding the Fourth Proportional to 10,459.68, 14,434.20 and 5,744.08

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Solution

The fourth proportional to 10,459.68, 14,434.20 and 5,744.08 is: 7,926.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.68 : 14,434.20 = 5,744.08 : x
  2. Step 2: Convert to fraction form
    10,459.68/14,434.20 = 5,744.08/x
  3. Step 3: Cross multiply
    10,459.68x = 14,434.20 × 5,744.08
  4. Step 4: Simplify right side
    10,459.68x = 82,911,199.54
  5. Step 5: Solve for x
    x = 82,911,199.54/10,459.68
  6. Step 6: Final answer
    x = 7,926.74

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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.