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Finding the Fourth Proportional to 10,916.42, 15,064.65 and 5,948.42

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Solution

The fourth proportional to 10,916.42, 15,064.65 and 5,948.42 is: 8,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.42 : 15,064.65 = 5,948.42 : x
  2. Step 2: Convert to fraction form
    10,916.42/15,064.65 = 5,948.42/x
  3. Step 3: Cross multiply
    10,916.42x = 15,064.65 × 5,948.42
  4. Step 4: Simplify right side
    10,916.42x = 89,610,790.03
  5. Step 5: Solve for x
    x = 89,610,790.03/10,916.42
  6. Step 6: Final answer
    x = 8,208.81

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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.