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Finding the Fourth Proportional to 11,746.53, 16,210.94 and 6,442.11

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Solution

The fourth proportional to 11,746.53, 16,210.94 and 6,442.11 is: 8,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.53 : 16,210.94 = 6,442.11 : x
  2. Step 2: Convert to fraction form
    11,746.53/16,210.94 = 6,442.11/x
  3. Step 3: Cross multiply
    11,746.53x = 16,210.94 × 6,442.11
  4. Step 4: Simplify right side
    11,746.53x = 104,432,626.47
  5. Step 5: Solve for x
    x = 104,432,626.47/11,746.53
  6. Step 6: Final answer
    x = 8,890.51

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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.