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Finding the Fourth Proportional to 7,931.93, 10,948.23 and 4,946.00

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Solution

The fourth proportional to 7,931.93, 10,948.23 and 4,946.00 is: 6,826.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,931.93 : 10,948.23 = 4,946.00 : x
  2. Step 2: Convert to fraction form
    7,931.93/10,948.23 = 4,946.00/x
  3. Step 3: Cross multiply
    7,931.93x = 10,948.23 × 4,946.00
  4. Step 4: Simplify right side
    7,931.93x = 54,149,890.84
  5. Step 5: Solve for x
    x = 54,149,890.84/7,931.93
  6. Step 6: Final answer
    x = 6,826.83

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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.