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Finding the Fourth Proportional to 10,740, 14,823.76 and 6,551.76

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Solution

The fourth proportional to 10,740, 14,823.76 and 6,551.76 is: 9,042.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,740 : 14,823.76 = 6,551.76 : x
  2. Step 2: Convert to fraction form
    10,740/14,823.76 = 6,551.76/x
  3. Step 3: Cross multiply
    10,740x = 14,823.76 × 6,551.76
  4. Step 4: Simplify right side
    10,740x = 97,121,717.82
  5. Step 5: Solve for x
    x = 97,121,717.82/10,740
  6. Step 6: Final answer
    x = 9,042.99

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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.