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Finding the Fourth Proportional to 7,461.40, 10,295.93 and 4,317

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Solution

The fourth proportional to 7,461.40, 10,295.93 and 4,317 is: 5,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,461.40 : 10,295.93 = 4,317 : x
  2. Step 2: Convert to fraction form
    7,461.40/10,295.93 = 4,317/x
  3. Step 3: Cross multiply
    7,461.40x = 10,295.93 × 4,317
  4. Step 4: Simplify right side
    7,461.40x = 44,447,508.23
  5. Step 5: Solve for x
    x = 44,447,508.23/7,461.40
  6. Step 6: Final answer
    x = 5,956.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.