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Finding the Fourth Proportional to 8,065.64, 11,129.54 and 4,709.26

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Solution

The fourth proportional to 8,065.64, 11,129.54 and 4,709.26 is: 6,498.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.64 : 11,129.54 = 4,709.26 : x
  2. Step 2: Convert to fraction form
    8,065.64/11,129.54 = 4,709.26/x
  3. Step 3: Cross multiply
    8,065.64x = 11,129.54 × 4,709.26
  4. Step 4: Simplify right side
    8,065.64x = 52,411,897.54
  5. Step 5: Solve for x
    x = 52,411,897.54/8,065.64
  6. Step 6: Final answer
    x = 6,498.17

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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.