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Finding the Fourth Proportional to 10,591.27, 14,602.71 and 6,807.76

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Solution

The fourth proportional to 10,591.27, 14,602.71 and 6,807.76 is: 9,386.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.27 : 14,602.71 = 6,807.76 : x
  2. Step 2: Convert to fraction form
    10,591.27/14,602.71 = 6,807.76/x
  3. Step 3: Cross multiply
    10,591.27x = 14,602.71 × 6,807.76
  4. Step 4: Simplify right side
    10,591.27x = 99,411,745.03
  5. Step 5: Solve for x
    x = 99,411,745.03/10,591.27
  6. Step 6: Final answer
    x = 9,386.20

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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.