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Finding the Fourth Proportional to 11,032.61, 16,552.08 and 4,012.50

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Solution

The fourth proportional to 11,032.61, 16,552.08 and 4,012.50 is: 6,019.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032.61 : 16,552.08 = 4,012.50 : x
  2. Step 2: Convert to fraction form
    11,032.61/16,552.08 = 4,012.50/x
  3. Step 3: Cross multiply
    11,032.61x = 16,552.08 × 4,012.50
  4. Step 4: Simplify right side
    11,032.61x = 66,415,283.07
  5. Step 5: Solve for x
    x = 66,415,283.07/11,032.61
  6. Step 6: Final answer
    x = 6,019.91

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Why These Related Problems?

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