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Finding the Fourth Proportional to 12,577.12, 17,359.54 and 7,275

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Solution

The fourth proportional to 12,577.12, 17,359.54 and 7,275 is: 10,041.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.12 : 17,359.54 = 7,275 : x
  2. Step 2: Convert to fraction form
    12,577.12/17,359.54 = 7,275/x
  3. Step 3: Cross multiply
    12,577.12x = 17,359.54 × 7,275
  4. Step 4: Simplify right side
    12,577.12x = 126,290,653.50
  5. Step 5: Solve for x
    x = 126,290,653.50/12,577.12
  6. Step 6: Final answer
    x = 10,041.30

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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.