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Finding the Fourth Proportional to 7,726.63, 10,657.08 and 5,073.07

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Solution

The fourth proportional to 7,726.63, 10,657.08 and 5,073.07 is: 6,997.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,726.63 : 10,657.08 = 5,073.07 : x
  2. Step 2: Convert to fraction form
    7,726.63/10,657.08 = 5,073.07/x
  3. Step 3: Cross multiply
    7,726.63x = 10,657.08 × 5,073.07
  4. Step 4: Simplify right side
    7,726.63x = 54,064,112.84
  5. Step 5: Solve for x
    x = 54,064,112.84/7,726.63
  6. Step 6: Final answer
    x = 6,997.11

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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.