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Finding the Fourth Proportional to 10,954.47, 15,111.90 and 7,176

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Solution

The fourth proportional to 10,954.47, 15,111.90 and 7,176 is: 9,899.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.47 : 15,111.90 = 7,176 : x
  2. Step 2: Convert to fraction form
    10,954.47/15,111.90 = 7,176/x
  3. Step 3: Cross multiply
    10,954.47x = 15,111.90 × 7,176
  4. Step 4: Simplify right side
    10,954.47x = 108,442,994.40
  5. Step 5: Solve for x
    x = 108,442,994.40/10,954.47
  6. Step 6: Final answer
    x = 9,899.43

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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.