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Finding the Fourth Proportional to 7,312.68, 10,091.18 and 4,660.94

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Solution

The fourth proportional to 7,312.68, 10,091.18 and 4,660.94 is: 6,431.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,312.68 : 10,091.18 = 4,660.94 : x
  2. Step 2: Convert to fraction form
    7,312.68/10,091.18 = 4,660.94/x
  3. Step 3: Cross multiply
    7,312.68x = 10,091.18 × 4,660.94
  4. Step 4: Simplify right side
    7,312.68x = 47,034,384.51
  5. Step 5: Solve for x
    x = 47,034,384.51/7,312.68
  6. Step 6: Final answer
    x = 6,431.89

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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.