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Finding the Fourth Proportional to 10,552.84, 15,798.88 and 6,998.96

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Solution

The fourth proportional to 10,552.84, 15,798.88 and 6,998.96 is: 10,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.84 : 15,798.88 = 6,998.96 : x
  2. Step 2: Convert to fraction form
    10,552.84/15,798.88 = 6,998.96/x
  3. Step 3: Cross multiply
    10,552.84x = 15,798.88 × 6,998.96
  4. Step 4: Simplify right side
    10,552.84x = 110,575,729.16
  5. Step 5: Solve for x
    x = 110,575,729.16/10,552.84
  6. Step 6: Final answer
    x = 10,478.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.