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Finding the Fourth Proportional to 10,033.40, 15,047.40 and 4,188.80

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Solution

The fourth proportional to 10,033.40, 15,047.40 and 4,188.80 is: 6,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.40 : 15,047.40 = 4,188.80 : x
  2. Step 2: Convert to fraction form
    10,033.40/15,047.40 = 4,188.80/x
  3. Step 3: Cross multiply
    10,033.40x = 15,047.40 × 4,188.80
  4. Step 4: Simplify right side
    10,033.40x = 63,030,549.12
  5. Step 5: Solve for x
    x = 63,030,549.12/10,033.40
  6. Step 6: Final answer
    x = 6,282.07

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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.