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Finding the Fourth Proportional to 12,547.21, 17,315.39 and 7,511.65

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Solution

The fourth proportional to 12,547.21, 17,315.39 and 7,511.65 is: 10,366.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.21 : 17,315.39 = 7,511.65 : x
  2. Step 2: Convert to fraction form
    12,547.21/17,315.39 = 7,511.65/x
  3. Step 3: Cross multiply
    12,547.21x = 17,315.39 × 7,511.65
  4. Step 4: Simplify right side
    12,547.21x = 130,067,025.16
  5. Step 5: Solve for x
    x = 130,067,025.16/12,547.21
  6. Step 6: Final answer
    x = 10,366.22

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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.