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Finding the Fourth Proportional to 12,569.07, 17,345.60 and 7,264.11

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Solution

The fourth proportional to 12,569.07, 17,345.60 and 7,264.11 is: 10,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.07 : 17,345.60 = 7,264.11 : x
  2. Step 2: Convert to fraction form
    12,569.07/17,345.60 = 7,264.11/x
  3. Step 3: Cross multiply
    12,569.07x = 17,345.60 × 7,264.11
  4. Step 4: Simplify right side
    12,569.07x = 126,000,310.10
  5. Step 5: Solve for x
    x = 126,000,310.10/12,569.07
  6. Step 6: Final answer
    x = 10,024.63

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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.