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Finding the Fourth Proportional to 11,488.44, 15,852.84 and 6,453.20

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Solution

The fourth proportional to 11,488.44, 15,852.84 and 6,453.20 is: 8,904.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.44 : 15,852.84 = 6,453.20 : x
  2. Step 2: Convert to fraction form
    11,488.44/15,852.84 = 6,453.20/x
  3. Step 3: Cross multiply
    11,488.44x = 15,852.84 × 6,453.20
  4. Step 4: Simplify right side
    11,488.44x = 102,301,547.09
  5. Step 5: Solve for x
    x = 102,301,547.09/11,488.44
  6. Step 6: Final answer
    x = 8,904.74

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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.