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Finding the Fourth Proportional to 10,507.80, 15,750.54 and 5,572.38

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Solution

The fourth proportional to 10,507.80, 15,750.54 and 5,572.38 is: 8,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.80 : 15,750.54 = 5,572.38 : x
  2. Step 2: Convert to fraction form
    10,507.80/15,750.54 = 5,572.38/x
  3. Step 3: Cross multiply
    10,507.80x = 15,750.54 × 5,572.38
  4. Step 4: Simplify right side
    10,507.80x = 87,767,994.09
  5. Step 5: Solve for x
    x = 87,767,994.09/10,507.80
  6. Step 6: Final answer
    x = 8,352.65

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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.