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Finding the Fourth Proportional to 10,730.16, 14,807.25 and 6,254.10

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Solution

The fourth proportional to 10,730.16, 14,807.25 and 6,254.10 is: 8,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,730.16 : 14,807.25 = 6,254.10 : x
  2. Step 2: Convert to fraction form
    10,730.16/14,807.25 = 6,254.10/x
  3. Step 3: Cross multiply
    10,730.16x = 14,807.25 × 6,254.10
  4. Step 4: Simplify right side
    10,730.16x = 92,606,022.23
  5. Step 5: Solve for x
    x = 92,606,022.23/10,730.16
  6. Step 6: Final answer
    x = 8,630.44

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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.