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Finding the Fourth Proportional to 10,476.59, 15,718.16 and 3,461.53

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Solution

The fourth proportional to 10,476.59, 15,718.16 and 3,461.53 is: 5,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.59 : 15,718.16 = 3,461.53 : x
  2. Step 2: Convert to fraction form
    10,476.59/15,718.16 = 3,461.53/x
  3. Step 3: Cross multiply
    10,476.59x = 15,718.16 × 3,461.53
  4. Step 4: Simplify right side
    10,476.59x = 54,408,877.97
  5. Step 5: Solve for x
    x = 54,408,877.97/10,476.59
  6. Step 6: Final answer
    x = 5,193.38

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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.