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Finding the Fourth Proportional to 37,915.48, 56,866.38 and 10,207

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Solution

The fourth proportional to 37,915.48, 56,866.38 and 10,207 is: 15,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,915.48 : 56,866.38 = 10,207 : x
  2. Step 2: Convert to fraction form
    37,915.48/56,866.38 = 10,207/x
  3. Step 3: Cross multiply
    37,915.48x = 56,866.38 × 10,207
  4. Step 4: Simplify right side
    37,915.48x = 580,435,140.66
  5. Step 5: Solve for x
    x = 580,435,140.66/37,915.48
  6. Step 6: Final answer
    x = 15,308.66

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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.