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Finding the Fourth Proportional to 10,420.10, 14,380.50 and 6,877.16

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Solution

The fourth proportional to 10,420.10, 14,380.50 and 6,877.16 is: 9,490.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.10 : 14,380.50 = 6,877.16 : x
  2. Step 2: Convert to fraction form
    10,420.10/14,380.50 = 6,877.16/x
  3. Step 3: Cross multiply
    10,420.10x = 14,380.50 × 6,877.16
  4. Step 4: Simplify right side
    10,420.10x = 98,896,999.38
  5. Step 5: Solve for x
    x = 98,896,999.38/10,420.10
  6. Step 6: Final answer
    x = 9,490.98

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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.