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Finding the Fourth Proportional to 10,916.81, 15,064.50 and 6,440.75

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Solution

The fourth proportional to 10,916.81, 15,064.50 and 6,440.75 is: 8,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,916.81 : 15,064.50 = 6,440.75 : x
  2. Step 2: Convert to fraction form
    10,916.81/15,064.50 = 6,440.75/x
  3. Step 3: Cross multiply
    10,916.81x = 15,064.50 × 6,440.75
  4. Step 4: Simplify right side
    10,916.81x = 97,026,678.38
  5. Step 5: Solve for x
    x = 97,026,678.38/10,916.81
  6. Step 6: Final answer
    x = 8,887.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.