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Finding the Fourth Proportional to 10,510.80, 14,514.28 and 10,012.88

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Solution

The fourth proportional to 10,510.80, 14,514.28 and 10,012.88 is: 13,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.80 : 14,514.28 = 10,012.88 : x
  2. Step 2: Convert to fraction form
    10,510.80/14,514.28 = 10,012.88/x
  3. Step 3: Cross multiply
    10,510.80x = 14,514.28 × 10,012.88
  4. Step 4: Simplify right side
    10,510.80x = 145,329,743.93
  5. Step 5: Solve for x
    x = 145,329,743.93/10,510.80
  6. Step 6: Final answer
    x = 13,826.71

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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.