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Finding the Fourth Proportional to 10,808.29, 14,885.62 and 9,315.66

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Solution

The fourth proportional to 10,808.29, 14,885.62 and 9,315.66 is: 12,829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,808.29 : 14,885.62 = 9,315.66 : x
  2. Step 2: Convert to fraction form
    10,808.29/14,885.62 = 9,315.66/x
  3. Step 3: Cross multiply
    10,808.29x = 14,885.62 × 9,315.66
  4. Step 4: Simplify right side
    10,808.29x = 138,669,374.81
  5. Step 5: Solve for x
    x = 138,669,374.81/10,808.29
  6. Step 6: Final answer
    x = 12,829.91

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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.