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Finding the Fourth Proportional to 10,948.58, 16,422.71 and 7,429.85

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Solution

The fourth proportional to 10,948.58, 16,422.71 and 7,429.85 is: 11,144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.58 : 16,422.71 = 7,429.85 : x
  2. Step 2: Convert to fraction form
    10,948.58/16,422.71 = 7,429.85/x
  3. Step 3: Cross multiply
    10,948.58x = 16,422.71 × 7,429.85
  4. Step 4: Simplify right side
    10,948.58x = 122,018,152.63
  5. Step 5: Solve for x
    x = 122,018,152.63/10,948.58
  6. Step 6: Final answer
    x = 11,144.66

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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.