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Finding the Fourth Proportional to 10,662.02, 14,705.65 and 7,828.51

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Solution

The fourth proportional to 10,662.02, 14,705.65 and 7,828.51 is: 10,797.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.02 : 14,705.65 = 7,828.51 : x
  2. Step 2: Convert to fraction form
    10,662.02/14,705.65 = 7,828.51/x
  3. Step 3: Cross multiply
    10,662.02x = 14,705.65 × 7,828.51
  4. Step 4: Simplify right side
    10,662.02x = 115,123,328.08
  5. Step 5: Solve for x
    x = 115,123,328.08/10,662.02
  6. Step 6: Final answer
    x = 10,797.52

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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.