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Finding the Fourth Proportional to 11,895.42, 16,417.98 and 6,862.89

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Solution

The fourth proportional to 11,895.42, 16,417.98 and 6,862.89 is: 9,472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,895.42 : 16,417.98 = 6,862.89 : x
  2. Step 2: Convert to fraction form
    11,895.42/16,417.98 = 6,862.89/x
  3. Step 3: Cross multiply
    11,895.42x = 16,417.98 × 6,862.89
  4. Step 4: Simplify right side
    11,895.42x = 112,674,756.45
  5. Step 5: Solve for x
    x = 112,674,756.45/11,895.42
  6. Step 6: Final answer
    x = 9,472.11

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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.