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Finding the Fourth Proportional to 10,483.42, 15,690.58 and 5,732.32

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Solution

The fourth proportional to 10,483.42, 15,690.58 and 5,732.32 is: 8,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.42 : 15,690.58 = 5,732.32 : x
  2. Step 2: Convert to fraction form
    10,483.42/15,690.58 = 5,732.32/x
  3. Step 3: Cross multiply
    10,483.42x = 15,690.58 × 5,732.32
  4. Step 4: Simplify right side
    10,483.42x = 89,943,425.55
  5. Step 5: Solve for x
    x = 89,943,425.55/10,483.42
  6. Step 6: Final answer
    x = 8,579.59

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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.