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Finding the Fourth Proportional to 11,205.76, 15,459.84 and 6,488.32

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Solution

The fourth proportional to 11,205.76, 15,459.84 and 6,488.32 is: 8,951.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,205.76 : 15,459.84 = 6,488.32 : x
  2. Step 2: Convert to fraction form
    11,205.76/15,459.84 = 6,488.32/x
  3. Step 3: Cross multiply
    11,205.76x = 15,459.84 × 6,488.32
  4. Step 4: Simplify right side
    11,205.76x = 100,308,389.07
  5. Step 5: Solve for x
    x = 100,308,389.07/11,205.76
  6. Step 6: Final answer
    x = 8,951.50

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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.