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Finding the Fourth Proportional to 10,437.15, 14,403.16 and 5,721.42

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Solution

The fourth proportional to 10,437.15, 14,403.16 and 5,721.42 is: 7,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.15 : 14,403.16 = 5,721.42 : x
  2. Step 2: Convert to fraction form
    10,437.15/14,403.16 = 5,721.42/x
  3. Step 3: Cross multiply
    10,437.15x = 14,403.16 × 5,721.42
  4. Step 4: Simplify right side
    10,437.15x = 82,406,527.69
  5. Step 5: Solve for x
    x = 82,406,527.69/10,437.15
  6. Step 6: Final answer
    x = 7,895.50

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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.