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Finding the Fourth Proportional to 10,485.10, 14,461.88 and 6,007.22

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Solution

The fourth proportional to 10,485.10, 14,461.88 and 6,007.22 is: 8,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.10 : 14,461.88 = 6,007.22 : x
  2. Step 2: Convert to fraction form
    10,485.10/14,461.88 = 6,007.22/x
  3. Step 3: Cross multiply
    10,485.10x = 14,461.88 × 6,007.22
  4. Step 4: Simplify right side
    10,485.10x = 86,875,694.77
  5. Step 5: Solve for x
    x = 86,875,694.77/10,485.10
  6. Step 6: Final answer
    x = 8,285.63

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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.