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Finding the Fourth Proportional to 10,233.35, 14,118.02 and 5,756.07

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Solution

The fourth proportional to 10,233.35, 14,118.02 and 5,756.07 is: 7,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,233.35 : 14,118.02 = 5,756.07 : x
  2. Step 2: Convert to fraction form
    10,233.35/14,118.02 = 5,756.07/x
  3. Step 3: Cross multiply
    10,233.35x = 14,118.02 × 5,756.07
  4. Step 4: Simplify right side
    10,233.35x = 81,264,282.60
  5. Step 5: Solve for x
    x = 81,264,282.60/10,233.35
  6. Step 6: Final answer
    x = 7,941.13

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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.