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Finding the Fourth Proportional to 10,835.10, 16,252.65 and 7,117.20

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Solution

The fourth proportional to 10,835.10, 16,252.65 and 7,117.20 is: 10,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.10 : 16,252.65 = 7,117.20 : x
  2. Step 2: Convert to fraction form
    10,835.10/16,252.65 = 7,117.20/x
  3. Step 3: Cross multiply
    10,835.10x = 16,252.65 × 7,117.20
  4. Step 4: Simplify right side
    10,835.10x = 115,673,360.58
  5. Step 5: Solve for x
    x = 115,673,360.58/10,835.10
  6. Step 6: Final answer
    x = 10,675.80

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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.