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Finding the Fourth Proportional to 10,916.09, 16,358.63 and 8,407.79

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Solution

The fourth proportional to 10,916.09, 16,358.63 and 8,407.79 is: 12,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.09 : 16,358.63 = 8,407.79 : x
  2. Step 2: Convert to fraction form
    10,916.09/16,358.63 = 8,407.79/x
  3. Step 3: Cross multiply
    10,916.09x = 16,358.63 × 8,407.79
  4. Step 4: Simplify right side
    10,916.09x = 137,539,925.73
  5. Step 5: Solve for x
    x = 137,539,925.73/10,916.09
  6. Step 6: Final answer
    x = 12,599.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.