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Finding the Fourth Proportional to 10,214.84, 15,307.41 and 5,530.88

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Solution

The fourth proportional to 10,214.84, 15,307.41 and 5,530.88 is: 8,288.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.84 : 15,307.41 = 5,530.88 : x
  2. Step 2: Convert to fraction form
    10,214.84/15,307.41 = 5,530.88/x
  3. Step 3: Cross multiply
    10,214.84x = 15,307.41 × 5,530.88
  4. Step 4: Simplify right side
    10,214.84x = 84,663,447.82
  5. Step 5: Solve for x
    x = 84,663,447.82/10,214.84
  6. Step 6: Final answer
    x = 8,288.28

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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.