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Finding the Fourth Proportional to 10,461.61, 15,693.78 and 3,886.94

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Solution

The fourth proportional to 10,461.61, 15,693.78 and 3,886.94 is: 5,830.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.61 : 15,693.78 = 3,886.94 : x
  2. Step 2: Convert to fraction form
    10,461.61/15,693.78 = 3,886.94/x
  3. Step 3: Cross multiply
    10,461.61x = 15,693.78 × 3,886.94
  4. Step 4: Simplify right side
    10,461.61x = 61,000,781.23
  5. Step 5: Solve for x
    x = 61,000,781.23/10,461.61
  6. Step 6: Final answer
    x = 5,830.92

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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.