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Finding the Fourth Proportional to 10,577.12, 14,596.08 and 6,384.64

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Solution

The fourth proportional to 10,577.12, 14,596.08 and 6,384.64 is: 8,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.12 : 14,596.08 = 6,384.64 : x
  2. Step 2: Convert to fraction form
    10,577.12/14,596.08 = 6,384.64/x
  3. Step 3: Cross multiply
    10,577.12x = 14,596.08 × 6,384.64
  4. Step 4: Simplify right side
    10,577.12x = 93,190,716.21
  5. Step 5: Solve for x
    x = 93,190,716.21/10,577.12
  6. Step 6: Final answer
    x = 8,810.59

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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.