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Finding the Fourth Proportional to 10,877.34, 15,011.10 and 6,097.49

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Solution

The fourth proportional to 10,877.34, 15,011.10 and 6,097.49 is: 8,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.34 : 15,011.10 = 6,097.49 : x
  2. Step 2: Convert to fraction form
    10,877.34/15,011.10 = 6,097.49/x
  3. Step 3: Cross multiply
    10,877.34x = 15,011.10 × 6,097.49
  4. Step 4: Simplify right side
    10,877.34x = 91,529,957.08
  5. Step 5: Solve for x
    x = 91,529,957.08/10,877.34
  6. Step 6: Final answer
    x = 8,414.74

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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.