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Finding the Fourth Proportional to 11,748.57, 16,210.67 and 6,714.45

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Solution

The fourth proportional to 11,748.57, 16,210.67 and 6,714.45 is: 9,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,748.57 : 16,210.67 = 6,714.45 : x
  2. Step 2: Convert to fraction form
    11,748.57/16,210.67 = 6,714.45/x
  3. Step 3: Cross multiply
    11,748.57x = 16,210.67 × 6,714.45
  4. Step 4: Simplify right side
    11,748.57x = 108,845,699.61
  5. Step 5: Solve for x
    x = 108,845,699.61/11,748.57
  6. Step 6: Final answer
    x = 9,264.59

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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.