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Finding the Fourth Proportional to 10,429.84, 15,646.12 and 5,499.66

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Solution

The fourth proportional to 10,429.84, 15,646.12 and 5,499.66 is: 8,250.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429.84 : 15,646.12 = 5,499.66 : x
  2. Step 2: Convert to fraction form
    10,429.84/15,646.12 = 5,499.66/x
  3. Step 3: Cross multiply
    10,429.84x = 15,646.12 × 5,499.66
  4. Step 4: Simplify right side
    10,429.84x = 86,048,326.57
  5. Step 5: Solve for x
    x = 86,048,326.57/10,429.84
  6. Step 6: Final answer
    x = 8,250.21

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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.