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Finding the Fourth Proportional to 12,547.41, 17,315.16 and 7,766.08

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Solution

The fourth proportional to 12,547.41, 17,315.16 and 7,766.08 is: 10,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.41 : 17,315.16 = 7,766.08 : x
  2. Step 2: Convert to fraction form
    12,547.41/17,315.16 = 7,766.08/x
  3. Step 3: Cross multiply
    12,547.41x = 17,315.16 × 7,766.08
  4. Step 4: Simplify right side
    12,547.41x = 134,470,917.77
  5. Step 5: Solve for x
    x = 134,470,917.77/12,547.41
  6. Step 6: Final answer
    x = 10,717.03

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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.