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Finding the Fourth Proportional to 12,563.78, 17,339.82 and 7,528.20

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Solution

The fourth proportional to 12,563.78, 17,339.82 and 7,528.20 is: 10,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,563.78 : 17,339.82 = 7,528.20 : x
  2. Step 2: Convert to fraction form
    12,563.78/17,339.82 = 7,528.20/x
  3. Step 3: Cross multiply
    12,563.78x = 17,339.82 × 7,528.20
  4. Step 4: Simplify right side
    12,563.78x = 130,537,632.92
  5. Step 5: Solve for x
    x = 130,537,632.92/12,563.78
  6. Step 6: Final answer
    x = 10,390.00

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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.