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Finding the Fourth Proportional to 10,585.94, 15,873.29 and 3,563.61

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Solution

The fourth proportional to 10,585.94, 15,873.29 and 3,563.61 is: 5,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.94 : 15,873.29 = 3,563.61 : x
  2. Step 2: Convert to fraction form
    10,585.94/15,873.29 = 3,563.61/x
  3. Step 3: Cross multiply
    10,585.94x = 15,873.29 × 3,563.61
  4. Step 4: Simplify right side
    10,585.94x = 56,566,197.16
  5. Step 5: Solve for x
    x = 56,566,197.16/10,585.94
  6. Step 6: Final answer
    x = 5,343.52

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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.