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Finding the Fourth Proportional to 10,628.02, 14,670.78 and 7,983.10

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Solution

The fourth proportional to 10,628.02, 14,670.78 and 7,983.10 is: 11,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.02 : 14,670.78 = 7,983.10 : x
  2. Step 2: Convert to fraction form
    10,628.02/14,670.78 = 7,983.10/x
  3. Step 3: Cross multiply
    10,628.02x = 14,670.78 × 7,983.10
  4. Step 4: Simplify right side
    10,628.02x = 117,118,303.82
  5. Step 5: Solve for x
    x = 117,118,303.82/10,628.02
  6. Step 6: Final answer
    x = 11,019.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.