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Finding the Fourth Proportional to 10,576.67, 14,590.61 and 8,897.46

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Solution

The fourth proportional to 10,576.67, 14,590.61 and 8,897.46 is: 12,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.67 : 14,590.61 = 8,897.46 : x
  2. Step 2: Convert to fraction form
    10,576.67/14,590.61 = 8,897.46/x
  3. Step 3: Cross multiply
    10,576.67x = 14,590.61 × 8,897.46
  4. Step 4: Simplify right side
    10,576.67x = 129,819,303.01
  5. Step 5: Solve for x
    x = 129,819,303.01/10,576.67
  6. Step 6: Final answer
    x = 12,274.12

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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.