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Finding the Fourth Proportional to 10,648.21, 14,700.42 and 6,400.30

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Solution

The fourth proportional to 10,648.21, 14,700.42 and 6,400.30 is: 8,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.21 : 14,700.42 = 6,400.30 : x
  2. Step 2: Convert to fraction form
    10,648.21/14,700.42 = 6,400.30/x
  3. Step 3: Cross multiply
    10,648.21x = 14,700.42 × 6,400.30
  4. Step 4: Simplify right side
    10,648.21x = 94,087,098.13
  5. Step 5: Solve for x
    x = 94,087,098.13/10,648.21
  6. Step 6: Final answer
    x = 8,835.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.