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Finding the Fourth Proportional to 10,442.84, 15,670.40 and 3,873.60

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Solution

The fourth proportional to 10,442.84, 15,670.40 and 3,873.60 is: 5,812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.84 : 15,670.40 = 3,873.60 : x
  2. Step 2: Convert to fraction form
    10,442.84/15,670.40 = 3,873.60/x
  3. Step 3: Cross multiply
    10,442.84x = 15,670.40 × 3,873.60
  4. Step 4: Simplify right side
    10,442.84x = 60,700,842.07
  5. Step 5: Solve for x
    x = 60,700,842.07/10,442.84
  6. Step 6: Final answer
    x = 5,812.68

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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.