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Finding the Fourth Proportional to 10,693.44, 16,038 and 2,902.32

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Solution

The fourth proportional to 10,693.44, 16,038 and 2,902.32 is: 4,352.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.44 : 16,038 = 2,902.32 : x
  2. Step 2: Convert to fraction form
    10,693.44/16,038 = 2,902.32/x
  3. Step 3: Cross multiply
    10,693.44x = 16,038 × 2,902.32
  4. Step 4: Simplify right side
    10,693.44x = 46,547,408.16
  5. Step 5: Solve for x
    x = 46,547,408.16/10,693.44
  6. Step 6: Final answer
    x = 4,352.89

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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.