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Finding the Fourth Proportional to 10,437.83, 15,658.47 and 5,173.07

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Solution

The fourth proportional to 10,437.83, 15,658.47 and 5,173.07 is: 7,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.83 : 15,658.47 = 5,173.07 : x
  2. Step 2: Convert to fraction form
    10,437.83/15,658.47 = 5,173.07/x
  3. Step 3: Cross multiply
    10,437.83x = 15,658.47 × 5,173.07
  4. Step 4: Simplify right side
    10,437.83x = 81,002,400.55
  5. Step 5: Solve for x
    x = 81,002,400.55/10,437.83
  6. Step 6: Final answer
    x = 7,760.47

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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.