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Finding the Fourth Proportional to 10,642.07, 14,686.05 and 5,926.25

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Solution

The fourth proportional to 10,642.07, 14,686.05 and 5,926.25 is: 8,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.07 : 14,686.05 = 5,926.25 : x
  2. Step 2: Convert to fraction form
    10,642.07/14,686.05 = 5,926.25/x
  3. Step 3: Cross multiply
    10,642.07x = 14,686.05 × 5,926.25
  4. Step 4: Simplify right side
    10,642.07x = 87,033,203.81
  5. Step 5: Solve for x
    x = 87,033,203.81/10,642.07
  6. Step 6: Final answer
    x = 8,178.22

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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.