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Finding the Fourth Proportional to 10,047.95, 13,866.49 and 5,572.12

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Solution

The fourth proportional to 10,047.95, 13,866.49 and 5,572.12 is: 7,689.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.95 : 13,866.49 = 5,572.12 : x
  2. Step 2: Convert to fraction form
    10,047.95/13,866.49 = 5,572.12/x
  3. Step 3: Cross multiply
    10,047.95x = 13,866.49 × 5,572.12
  4. Step 4: Simplify right side
    10,047.95x = 77,265,705.56
  5. Step 5: Solve for x
    x = 77,265,705.56/10,047.95
  6. Step 6: Final answer
    x = 7,689.70

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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.