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Finding the Fourth Proportional to 10,585.52, 15,875.32 and 3,188.90

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Solution

The fourth proportional to 10,585.52, 15,875.32 and 3,188.90 is: 4,782.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,585.52 : 15,875.32 = 3,188.90 : x
  2. Step 2: Convert to fraction form
    10,585.52/15,875.32 = 3,188.90/x
  3. Step 3: Cross multiply
    10,585.52x = 15,875.32 × 3,188.90
  4. Step 4: Simplify right side
    10,585.52x = 50,624,839.66
  5. Step 5: Solve for x
    x = 50,624,839.66/10,585.52
  6. Step 6: Final answer
    x = 4,782.46

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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.