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Finding the Fourth Proportional to 8,271.40, 12,423.57 and 4,946.08

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Solution

The fourth proportional to 8,271.40, 12,423.57 and 4,946.08 is: 7,428.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,271.40 : 12,423.57 = 4,946.08 : x
  2. Step 2: Convert to fraction form
    8,271.40/12,423.57 = 4,946.08/x
  3. Step 3: Cross multiply
    8,271.40x = 12,423.57 × 4,946.08
  4. Step 4: Simplify right side
    8,271.40x = 61,447,971.11
  5. Step 5: Solve for x
    x = 61,447,971.11/8,271.40
  6. Step 6: Final answer
    x = 7,428.97

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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.