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Finding the Fourth Proportional to 10,590.95, 14,613.41 and 6,399.21

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Solution

The fourth proportional to 10,590.95, 14,613.41 and 6,399.21 is: 8,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.95 : 14,613.41 = 6,399.21 : x
  2. Step 2: Convert to fraction form
    10,590.95/14,613.41 = 6,399.21/x
  3. Step 3: Cross multiply
    10,590.95x = 14,613.41 × 6,399.21
  4. Step 4: Simplify right side
    10,590.95x = 93,514,247.41
  5. Step 5: Solve for x
    x = 93,514,247.41/10,590.95
  6. Step 6: Final answer
    x = 8,829.64

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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.