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Finding the Fourth Proportional to 10,713.54, 14,769.47 and 7,875.91

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Solution

The fourth proportional to 10,713.54, 14,769.47 and 7,875.91 is: 10,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.54 : 14,769.47 = 7,875.91 : x
  2. Step 2: Convert to fraction form
    10,713.54/14,769.47 = 7,875.91/x
  3. Step 3: Cross multiply
    10,713.54x = 14,769.47 × 7,875.91
  4. Step 4: Simplify right side
    10,713.54x = 116,322,903.24
  5. Step 5: Solve for x
    x = 116,322,903.24/10,713.54
  6. Step 6: Final answer
    x = 10,857.56

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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.