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Finding the Fourth Proportional to 10,715.33, 14,785.76 and 5,999.63

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Solution

The fourth proportional to 10,715.33, 14,785.76 and 5,999.63 is: 8,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.33 : 14,785.76 = 5,999.63 : x
  2. Step 2: Convert to fraction form
    10,715.33/14,785.76 = 5,999.63/x
  3. Step 3: Cross multiply
    10,715.33x = 14,785.76 × 5,999.63
  4. Step 4: Simplify right side
    10,715.33x = 88,709,030.34
  5. Step 5: Solve for x
    x = 88,709,030.34/10,715.33
  6. Step 6: Final answer
    x = 8,278.70

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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.