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Finding the Fourth Proportional to 12,113.59, 16,714.62 and 6,808.63

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Solution

The fourth proportional to 12,113.59, 16,714.62 and 6,808.63 is: 9,394.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.59 : 16,714.62 = 6,808.63 : x
  2. Step 2: Convert to fraction form
    12,113.59/16,714.62 = 6,808.63/x
  3. Step 3: Cross multiply
    12,113.59x = 16,714.62 × 6,808.63
  4. Step 4: Simplify right side
    12,113.59x = 113,803,663.17
  5. Step 5: Solve for x
    x = 113,803,663.17/12,113.59
  6. Step 6: Final answer
    x = 9,394.71

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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.