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Finding the Fourth Proportional to 10,613.59, 14,646.90 and 6,421.84

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Solution

The fourth proportional to 10,613.59, 14,646.90 and 6,421.84 is: 8,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.59 : 14,646.90 = 6,421.84 : x
  2. Step 2: Convert to fraction form
    10,613.59/14,646.90 = 6,421.84/x
  3. Step 3: Cross multiply
    10,613.59x = 14,646.90 × 6,421.84
  4. Step 4: Simplify right side
    10,613.59x = 94,060,048.30
  5. Step 5: Solve for x
    x = 94,060,048.30/10,613.59
  6. Step 6: Final answer
    x = 8,862.23

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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.