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Finding the Fourth Proportional to 11,387.32, 15,715.83 and 6,671.50

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Solution

The fourth proportional to 11,387.32, 15,715.83 and 6,671.50 is: 9,207.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.32 : 15,715.83 = 6,671.50 : x
  2. Step 2: Convert to fraction form
    11,387.32/15,715.83 = 6,671.50/x
  3. Step 3: Cross multiply
    11,387.32x = 15,715.83 × 6,671.50
  4. Step 4: Simplify right side
    11,387.32x = 104,848,159.85
  5. Step 5: Solve for x
    x = 104,848,159.85/11,387.32
  6. Step 6: Final answer
    x = 9,207.45

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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.