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Finding the Fourth Proportional to 10,602.86, 14,613.56 and 7,945.65

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Solution

The fourth proportional to 10,602.86, 14,613.56 and 7,945.65 is: 10,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,602.86 : 14,613.56 = 7,945.65 : x
  2. Step 2: Convert to fraction form
    10,602.86/14,613.56 = 7,945.65/x
  3. Step 3: Cross multiply
    10,602.86x = 14,613.56 × 7,945.65
  4. Step 4: Simplify right side
    10,602.86x = 116,114,193.29
  5. Step 5: Solve for x
    x = 116,114,193.29/10,602.86
  6. Step 6: Final answer
    x = 10,951.22

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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.