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Finding the Fourth Proportional to 7,752.02, 11,628.03 and 6,378.47

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Solution

The fourth proportional to 7,752.02, 11,628.03 and 6,378.47 is: 9,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.02 : 11,628.03 = 6,378.47 : x
  2. Step 2: Convert to fraction form
    7,752.02/11,628.03 = 6,378.47/x
  3. Step 3: Cross multiply
    7,752.02x = 11,628.03 × 6,378.47
  4. Step 4: Simplify right side
    7,752.02x = 74,168,982.37
  5. Step 5: Solve for x
    x = 74,168,982.37/7,752.02
  6. Step 6: Final answer
    x = 9,567.70

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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.