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Finding the Fourth Proportional to 10,613.53, 14,641.10 and 6,362.55

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Solution

The fourth proportional to 10,613.53, 14,641.10 and 6,362.55 is: 8,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.53 : 14,641.10 = 6,362.55 : x
  2. Step 2: Convert to fraction form
    10,613.53/14,641.10 = 6,362.55/x
  3. Step 3: Cross multiply
    10,613.53x = 14,641.10 × 6,362.55
  4. Step 4: Simplify right side
    10,613.53x = 93,154,758.64
  5. Step 5: Solve for x
    x = 93,154,758.64/10,613.53
  6. Step 6: Final answer
    x = 8,776.98

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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.