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Finding the Fourth Proportional to 10,501.13, 15,752 and 3,926.06

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Solution

The fourth proportional to 10,501.13, 15,752 and 3,926.06 is: 5,889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.13 : 15,752 = 3,926.06 : x
  2. Step 2: Convert to fraction form
    10,501.13/15,752 = 3,926.06/x
  3. Step 3: Cross multiply
    10,501.13x = 15,752 × 3,926.06
  4. Step 4: Simplify right side
    10,501.13x = 61,843,297.12
  5. Step 5: Solve for x
    x = 61,843,297.12/10,501.13
  6. Step 6: Final answer
    x = 5,889.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.