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Finding the Fourth Proportional to 10,916.16, 16,372.64 and 5,368.01

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Solution

The fourth proportional to 10,916.16, 16,372.64 and 5,368.01 is: 8,051.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.16 : 16,372.64 = 5,368.01 : x
  2. Step 2: Convert to fraction form
    10,916.16/16,372.64 = 5,368.01/x
  3. Step 3: Cross multiply
    10,916.16x = 16,372.64 × 5,368.01
  4. Step 4: Simplify right side
    10,916.16x = 87,888,549.60
  5. Step 5: Solve for x
    x = 87,888,549.60/10,916.16
  6. Step 6: Final answer
    x = 8,051.23

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Why These Related Problems?

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