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Finding the Fourth Proportional to 10,437.40, 14,403.51 and 5,721.67

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Solution

The fourth proportional to 10,437.40, 14,403.51 and 5,721.67 is: 7,895.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.40 : 14,403.51 = 5,721.67 : x
  2. Step 2: Convert to fraction form
    10,437.40/14,403.51 = 5,721.67/x
  3. Step 3: Cross multiply
    10,437.40x = 14,403.51 × 5,721.67
  4. Step 4: Simplify right side
    10,437.40x = 82,412,059.04
  5. Step 5: Solve for x
    x = 82,412,059.04/10,437.40
  6. Step 6: Final answer
    x = 7,895.85

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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.