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Finding the Fourth Proportional to 10,576.69, 14,595.93 and 5,861.07

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Solution

The fourth proportional to 10,576.69, 14,595.93 and 5,861.07 is: 8,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.69 : 14,595.93 = 5,861.07 : x
  2. Step 2: Convert to fraction form
    10,576.69/14,595.93 = 5,861.07/x
  3. Step 3: Cross multiply
    10,576.69x = 14,595.93 × 5,861.07
  4. Step 4: Simplify right side
    10,576.69x = 85,547,767.45
  5. Step 5: Solve for x
    x = 85,547,767.45/10,576.69
  6. Step 6: Final answer
    x = 8,088.33

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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.