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Finding the Fourth Proportional to 8,466.02, 11,705.40 and 7,415.07

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Solution

The fourth proportional to 8,466.02, 11,705.40 and 7,415.07 is: 10,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.02 : 11,705.40 = 7,415.07 : x
  2. Step 2: Convert to fraction form
    8,466.02/11,705.40 = 7,415.07/x
  3. Step 3: Cross multiply
    8,466.02x = 11,705.40 × 7,415.07
  4. Step 4: Simplify right side
    8,466.02x = 86,796,360.38
  5. Step 5: Solve for x
    x = 86,796,360.38/8,466.02
  6. Step 6: Final answer
    x = 10,252.32

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Why These Related Problems?

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