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Finding the Fourth Proportional to 10,345.88, 15,528.53 and 5,419.05

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Solution

The fourth proportional to 10,345.88, 15,528.53 and 5,419.05 is: 8,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.88 : 15,528.53 = 5,419.05 : x
  2. Step 2: Convert to fraction form
    10,345.88/15,528.53 = 5,419.05/x
  3. Step 3: Cross multiply
    10,345.88x = 15,528.53 × 5,419.05
  4. Step 4: Simplify right side
    10,345.88x = 84,149,853.40
  5. Step 5: Solve for x
    x = 84,149,853.40/10,345.88
  6. Step 6: Final answer
    x = 8,133.66

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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.