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Finding the Fourth Proportional to 10,533.24, 14,529.78 and 6,807.24

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Solution

The fourth proportional to 10,533.24, 14,529.78 and 6,807.24 is: 9,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,533.24 : 14,529.78 = 6,807.24 : x
  2. Step 2: Convert to fraction form
    10,533.24/14,529.78 = 6,807.24/x
  3. Step 3: Cross multiply
    10,533.24x = 14,529.78 × 6,807.24
  4. Step 4: Simplify right side
    10,533.24x = 98,907,699.61
  5. Step 5: Solve for x
    x = 98,907,699.61/10,533.24
  6. Step 6: Final answer
    x = 9,390.05

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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.