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Finding the Fourth Proportional to 10,666.41, 14,719.54 and 5,886.39

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Solution

The fourth proportional to 10,666.41, 14,719.54 and 5,886.39 is: 8,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.41 : 14,719.54 = 5,886.39 : x
  2. Step 2: Convert to fraction form
    10,666.41/14,719.54 = 5,886.39/x
  3. Step 3: Cross multiply
    10,666.41x = 14,719.54 × 5,886.39
  4. Step 4: Simplify right side
    10,666.41x = 86,644,953.06
  5. Step 5: Solve for x
    x = 86,644,953.06/10,666.41
  6. Step 6: Final answer
    x = 8,123.16

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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.