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Finding the Fourth Proportional to 10,041.37, 13,857.08 and 6,061.70

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Solution

The fourth proportional to 10,041.37, 13,857.08 and 6,061.70 is: 8,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,041.37 : 13,857.08 = 6,061.70 : x
  2. Step 2: Convert to fraction form
    10,041.37/13,857.08 = 6,061.70/x
  3. Step 3: Cross multiply
    10,041.37x = 13,857.08 × 6,061.70
  4. Step 4: Simplify right side
    10,041.37x = 83,997,466.17
  5. Step 5: Solve for x
    x = 83,997,466.17/10,041.37
  6. Step 6: Final answer
    x = 8,365.14

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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.