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Finding the Fourth Proportional to 10,302.92, 14,218.11 and 5,587.20

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Solution

The fourth proportional to 10,302.92, 14,218.11 and 5,587.20 is: 7,710.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,302.92 : 14,218.11 = 5,587.20 : x
  2. Step 2: Convert to fraction form
    10,302.92/14,218.11 = 5,587.20/x
  3. Step 3: Cross multiply
    10,302.92x = 14,218.11 × 5,587.20
  4. Step 4: Simplify right side
    10,302.92x = 79,439,424.19
  5. Step 5: Solve for x
    x = 79,439,424.19/10,302.92
  6. Step 6: Final answer
    x = 7,710.38

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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.