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Finding the Fourth Proportional to 10,407.98, 14,362.40 and 5,931.70

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Solution

The fourth proportional to 10,407.98, 14,362.40 and 5,931.70 is: 8,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.98 : 14,362.40 = 5,931.70 : x
  2. Step 2: Convert to fraction form
    10,407.98/14,362.40 = 5,931.70/x
  3. Step 3: Cross multiply
    10,407.98x = 14,362.40 × 5,931.70
  4. Step 4: Simplify right side
    10,407.98x = 85,193,427.00
  5. Step 5: Solve for x
    x = 85,193,427.00/10,407.98
  6. Step 6: Final answer
    x = 8,185.39

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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.