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Finding the Fourth Proportional to 10,123.86, 13,955.68 and 7,881.78

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Solution

The fourth proportional to 10,123.86, 13,955.68 and 7,881.78 is: 10,864.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,123.86 : 13,955.68 = 7,881.78 : x
  2. Step 2: Convert to fraction form
    10,123.86/13,955.68 = 7,881.78/x
  3. Step 3: Cross multiply
    10,123.86x = 13,955.68 × 7,881.78
  4. Step 4: Simplify right side
    10,123.86x = 109,995,599.51
  5. Step 5: Solve for x
    x = 109,995,599.51/10,123.86
  6. Step 6: Final answer
    x = 10,864.99

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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.