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Finding the Fourth Proportional to 10,590.65, 14,615.57 and 5,874.93

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Solution

The fourth proportional to 10,590.65, 14,615.57 and 5,874.93 is: 8,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.65 : 14,615.57 = 5,874.93 : x
  2. Step 2: Convert to fraction form
    10,590.65/14,615.57 = 5,874.93/x
  3. Step 3: Cross multiply
    10,590.65x = 14,615.57 × 5,874.93
  4. Step 4: Simplify right side
    10,590.65x = 85,865,421.29
  5. Step 5: Solve for x
    x = 85,865,421.29/10,590.65
  6. Step 6: Final answer
    x = 8,107.67

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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.