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Finding the Fourth Proportional to 10,151.76, 14,008.08 and 5,674.96

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Solution

The fourth proportional to 10,151.76, 14,008.08 and 5,674.96 is: 7,830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.76 : 14,008.08 = 5,674.96 : x
  2. Step 2: Convert to fraction form
    10,151.76/14,008.08 = 5,674.96/x
  3. Step 3: Cross multiply
    10,151.76x = 14,008.08 × 5,674.96
  4. Step 4: Simplify right side
    10,151.76x = 79,495,293.68
  5. Step 5: Solve for x
    x = 79,495,293.68/10,151.76
  6. Step 6: Final answer
    x = 7,830.69

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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.