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Finding the Fourth Proportional to 8,437.84, 11,648.68 and 5,455.37

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Solution

The fourth proportional to 8,437.84, 11,648.68 and 5,455.37 is: 7,531.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437.84 : 11,648.68 = 5,455.37 : x
  2. Step 2: Convert to fraction form
    8,437.84/11,648.68 = 5,455.37/x
  3. Step 3: Cross multiply
    8,437.84x = 11,648.68 × 5,455.37
  4. Step 4: Simplify right side
    8,437.84x = 63,547,874.89
  5. Step 5: Solve for x
    x = 63,547,874.89/8,437.84
  6. Step 6: Final answer
    x = 7,531.30

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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.