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Finding the Fourth Proportional to 10,509.82, 15,768.36 and 4,670.52

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Solution

The fourth proportional to 10,509.82, 15,768.36 and 4,670.52 is: 7,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.82 : 15,768.36 = 4,670.52 : x
  2. Step 2: Convert to fraction form
    10,509.82/15,768.36 = 4,670.52/x
  3. Step 3: Cross multiply
    10,509.82x = 15,768.36 × 4,670.52
  4. Step 4: Simplify right side
    10,509.82x = 73,646,440.75
  5. Step 5: Solve for x
    x = 73,646,440.75/10,509.82
  6. Step 6: Final answer
    x = 7,007.39

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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.