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Finding the Fourth Proportional to 10,703.82, 14,769.06 and 7,345.41

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Solution

The fourth proportional to 10,703.82, 14,769.06 and 7,345.41 is: 10,135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,703.82 : 14,769.06 = 7,345.41 : x
  2. Step 2: Convert to fraction form
    10,703.82/14,769.06 = 7,345.41/x
  3. Step 3: Cross multiply
    10,703.82x = 14,769.06 × 7,345.41
  4. Step 4: Simplify right side
    10,703.82x = 108,484,801.01
  5. Step 5: Solve for x
    x = 108,484,801.01/10,703.82
  6. Step 6: Final answer
    x = 10,135.14

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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.