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Finding the Fourth Proportional to 10,613.05, 14,646.28 and 6,364.80

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Solution

The fourth proportional to 10,613.05, 14,646.28 and 6,364.80 is: 8,783.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.05 : 14,646.28 = 6,364.80 : x
  2. Step 2: Convert to fraction form
    10,613.05/14,646.28 = 6,364.80/x
  3. Step 3: Cross multiply
    10,613.05x = 14,646.28 × 6,364.80
  4. Step 4: Simplify right side
    10,613.05x = 93,220,642.94
  5. Step 5: Solve for x
    x = 93,220,642.94/10,613.05
  6. Step 6: Final answer
    x = 8,783.59

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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.