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Finding the Fourth Proportional to 10,953.84, 15,115.92 and 6,476.64

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Solution

The fourth proportional to 10,953.84, 15,115.92 and 6,476.64 is: 8,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,953.84 : 15,115.92 = 6,476.64 : x
  2. Step 2: Convert to fraction form
    10,953.84/15,115.92 = 6,476.64/x
  3. Step 3: Cross multiply
    10,953.84x = 15,115.92 × 6,476.64
  4. Step 4: Simplify right side
    10,953.84x = 97,900,372.11
  5. Step 5: Solve for x
    x = 97,900,372.11/10,953.84
  6. Step 6: Final answer
    x = 8,937.54

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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.