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Finding the Fourth Proportional to 10,628.34, 14,666.85 and 6,151.47

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Solution

The fourth proportional to 10,628.34, 14,666.85 and 6,151.47 is: 8,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,628.34 : 14,666.85 = 6,151.47 : x
  2. Step 2: Convert to fraction form
    10,628.34/14,666.85 = 6,151.47/x
  3. Step 3: Cross multiply
    10,628.34x = 14,666.85 × 6,151.47
  4. Step 4: Simplify right side
    10,628.34x = 90,222,687.77
  5. Step 5: Solve for x
    x = 90,222,687.77/10,628.34
  6. Step 6: Final answer
    x = 8,488.88

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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.