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Finding the Fourth Proportional to 10,580.80, 14,602 and 5,865.19

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Solution

The fourth proportional to 10,580.80, 14,602 and 5,865.19 is: 8,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580.80 : 14,602 = 5,865.19 : x
  2. Step 2: Convert to fraction form
    10,580.80/14,602 = 5,865.19/x
  3. Step 3: Cross multiply
    10,580.80x = 14,602 × 5,865.19
  4. Step 4: Simplify right side
    10,580.80x = 85,643,504.38
  5. Step 5: Solve for x
    x = 85,643,504.38/10,580.80
  6. Step 6: Final answer
    x = 8,094.24

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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.