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Finding the Fourth Proportional to 10,595.28, 15,893.68 and 2,804

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Solution

The fourth proportional to 10,595.28, 15,893.68 and 2,804 is: 4,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.28 : 15,893.68 = 2,804 : x
  2. Step 2: Convert to fraction form
    10,595.28/15,893.68 = 2,804/x
  3. Step 3: Cross multiply
    10,595.28x = 15,893.68 × 2,804
  4. Step 4: Simplify right side
    10,595.28x = 44,565,878.72
  5. Step 5: Solve for x
    x = 44,565,878.72/10,595.28
  6. Step 6: Final answer
    x = 4,206.20

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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.