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Finding the Fourth Proportional to 10,444.41, 15,666.51 and 8,377.38

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Solution

The fourth proportional to 10,444.41, 15,666.51 and 8,377.38 is: 12,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.41 : 15,666.51 = 8,377.38 : x
  2. Step 2: Convert to fraction form
    10,444.41/15,666.51 = 8,377.38/x
  3. Step 3: Cross multiply
    10,444.41x = 15,666.51 × 8,377.38
  4. Step 4: Simplify right side
    10,444.41x = 131,244,307.54
  5. Step 5: Solve for x
    x = 131,244,307.54/10,444.41
  6. Step 6: Final answer
    x = 12,565.99

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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.