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Finding the Fourth Proportional to 10,514.71, 14,510.19 and 5,798.89

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Solution

The fourth proportional to 10,514.71, 14,510.19 and 5,798.89 is: 8,002.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,514.71 : 14,510.19 = 5,798.89 : x
  2. Step 2: Convert to fraction form
    10,514.71/14,510.19 = 5,798.89/x
  3. Step 3: Cross multiply
    10,514.71x = 14,510.19 × 5,798.89
  4. Step 4: Simplify right side
    10,514.71x = 84,142,995.69
  5. Step 5: Solve for x
    x = 84,142,995.69/10,514.71
  6. Step 6: Final answer
    x = 8,002.41

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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.