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Finding the Fourth Proportional to 10,617.16, 14,649.30 and 6,425.32

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Solution

The fourth proportional to 10,617.16, 14,649.30 and 6,425.32 is: 8,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.16 : 14,649.30 = 6,425.32 : x
  2. Step 2: Convert to fraction form
    10,617.16/14,649.30 = 6,425.32/x
  3. Step 3: Cross multiply
    10,617.16x = 14,649.30 × 6,425.32
  4. Step 4: Simplify right side
    10,617.16x = 94,126,440.28
  5. Step 5: Solve for x
    x = 94,126,440.28/10,617.16
  6. Step 6: Final answer
    x = 8,865.50

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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.