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Finding the Fourth Proportional to 10,613.32, 14,646.47 and 6,636.74

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Solution

The fourth proportional to 10,613.32, 14,646.47 and 6,636.74 is: 9,158.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.32 : 14,646.47 = 6,636.74 : x
  2. Step 2: Convert to fraction form
    10,613.32/14,646.47 = 6,636.74/x
  3. Step 3: Cross multiply
    10,613.32x = 14,646.47 × 6,636.74
  4. Step 4: Simplify right side
    10,613.32x = 97,204,706.89
  5. Step 5: Solve for x
    x = 97,204,706.89/10,613.32
  6. Step 6: Final answer
    x = 9,158.75

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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.