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Finding the Fourth Proportional to 10,298.93, 15,461.02 and 6,791.87

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Solution

The fourth proportional to 10,298.93, 15,461.02 and 6,791.87 is: 10,196.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.93 : 15,461.02 = 6,791.87 : x
  2. Step 2: Convert to fraction form
    10,298.93/15,461.02 = 6,791.87/x
  3. Step 3: Cross multiply
    10,298.93x = 15,461.02 × 6,791.87
  4. Step 4: Simplify right side
    10,298.93x = 105,009,227.07
  5. Step 5: Solve for x
    x = 105,009,227.07/10,298.93
  6. Step 6: Final answer
    x = 10,196.13

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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.