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Finding the Fourth Proportional to 10,700.40, 14,768.48 and 6,225.60

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Solution

The fourth proportional to 10,700.40, 14,768.48 and 6,225.60 is: 8,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.40 : 14,768.48 = 6,225.60 : x
  2. Step 2: Convert to fraction form
    10,700.40/14,768.48 = 6,225.60/x
  3. Step 3: Cross multiply
    10,700.40x = 14,768.48 × 6,225.60
  4. Step 4: Simplify right side
    10,700.40x = 91,942,649.09
  5. Step 5: Solve for x
    x = 91,942,649.09/10,700.40
  6. Step 6: Final answer
    x = 8,592.45

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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.