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Finding the Fourth Proportional to 12,113.16, 16,715.25 and 6,806.94

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Solution

The fourth proportional to 12,113.16, 16,715.25 and 6,806.94 is: 9,393.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,113.16 : 16,715.25 = 6,806.94 : x
  2. Step 2: Convert to fraction form
    12,113.16/16,715.25 = 6,806.94/x
  3. Step 3: Cross multiply
    12,113.16x = 16,715.25 × 6,806.94
  4. Step 4: Simplify right side
    12,113.16x = 113,779,703.84
  5. Step 5: Solve for x
    x = 113,779,703.84/12,113.16
  6. Step 6: Final answer
    x = 9,393.07

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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.