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Finding the Fourth Proportional to 10,188.53, 15,289.58 and 4,189.53

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Solution

The fourth proportional to 10,188.53, 15,289.58 and 4,189.53 is: 6,287.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.53 : 15,289.58 = 4,189.53 : x
  2. Step 2: Convert to fraction form
    10,188.53/15,289.58 = 4,189.53/x
  3. Step 3: Cross multiply
    10,188.53x = 15,289.58 × 4,189.53
  4. Step 4: Simplify right side
    10,188.53x = 64,056,154.10
  5. Step 5: Solve for x
    x = 64,056,154.10/10,188.53
  6. Step 6: Final answer
    x = 6,287.08

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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.