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Finding the Fourth Proportional to 11,645.02, 16,070.16 and 6,929.20

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Solution

The fourth proportional to 11,645.02, 16,070.16 and 6,929.20 is: 9,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.02 : 16,070.16 = 6,929.20 : x
  2. Step 2: Convert to fraction form
    11,645.02/16,070.16 = 6,929.20/x
  3. Step 3: Cross multiply
    11,645.02x = 16,070.16 × 6,929.20
  4. Step 4: Simplify right side
    11,645.02x = 111,353,352.67
  5. Step 5: Solve for x
    x = 111,353,352.67/11,645.02
  6. Step 6: Final answer
    x = 9,562.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.