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Finding the Fourth Proportional to 10,595.72, 14,622.05 and 5,880.00

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Solution

The fourth proportional to 10,595.72, 14,622.05 and 5,880.00 is: 8,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.72 : 14,622.05 = 5,880.00 : x
  2. Step 2: Convert to fraction form
    10,595.72/14,622.05 = 5,880.00/x
  3. Step 3: Cross multiply
    10,595.72x = 14,622.05 × 5,880.00
  4. Step 4: Simplify right side
    10,595.72x = 85,977,723.53
  5. Step 5: Solve for x
    x = 85,977,723.53/10,595.72
  6. Step 6: Final answer
    x = 8,114.38

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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.