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Finding the Fourth Proportional to 12,084.71, 16,676.82 and 7,048.53

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Solution

The fourth proportional to 12,084.71, 16,676.82 and 7,048.53 is: 9,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,084.71 : 16,676.82 = 7,048.53 : x
  2. Step 2: Convert to fraction form
    12,084.71/16,676.82 = 7,048.53/x
  3. Step 3: Cross multiply
    12,084.71x = 16,676.82 × 7,048.53
  4. Step 4: Simplify right side
    12,084.71x = 117,547,066.07
  5. Step 5: Solve for x
    x = 117,547,066.07/12,084.71
  6. Step 6: Final answer
    x = 9,726.93

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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.