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Finding the Fourth Proportional to 10,956.47, 15,114.66 and 7,178

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Solution

The fourth proportional to 10,956.47, 15,114.66 and 7,178 is: 9,902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,956.47 : 15,114.66 = 7,178 : x
  2. Step 2: Convert to fraction form
    10,956.47/15,114.66 = 7,178/x
  3. Step 3: Cross multiply
    10,956.47x = 15,114.66 × 7,178
  4. Step 4: Simplify right side
    10,956.47x = 108,493,029.48
  5. Step 5: Solve for x
    x = 108,493,029.48/10,956.47
  6. Step 6: Final answer
    x = 9,902.19

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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.