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Finding the Fourth Proportional to 10,748.93, 14,836.62 and 6,500

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Solution

The fourth proportional to 10,748.93, 14,836.62 and 6,500 is: 8,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,748.93 : 14,836.62 = 6,500 : x
  2. Step 2: Convert to fraction form
    10,748.93/14,836.62 = 6,500/x
  3. Step 3: Cross multiply
    10,748.93x = 14,836.62 × 6,500
  4. Step 4: Simplify right side
    10,748.93x = 96,438,030
  5. Step 5: Solve for x
    x = 96,438,030/10,748.93
  6. Step 6: Final answer
    x = 8,971.87

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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.