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Finding the Fourth Proportional to 11,746.90, 16,209.78 and 6,710.41

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Solution

The fourth proportional to 11,746.90, 16,209.78 and 6,710.41 is: 9,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.90 : 16,209.78 = 6,710.41 : x
  2. Step 2: Convert to fraction form
    11,746.90/16,209.78 = 6,710.41/x
  3. Step 3: Cross multiply
    11,746.90x = 16,209.78 × 6,710.41
  4. Step 4: Simplify right side
    11,746.90x = 108,774,188.76
  5. Step 5: Solve for x
    x = 108,774,188.76/11,746.90
  6. Step 6: Final answer
    x = 9,259.82

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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.