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Finding the Fourth Proportional to 10,513.95, 14,509.06 and 5,977.44

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Solution

The fourth proportional to 10,513.95, 14,509.06 and 5,977.44 is: 8,248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.95 : 14,509.06 = 5,977.44 : x
  2. Step 2: Convert to fraction form
    10,513.95/14,509.06 = 5,977.44/x
  3. Step 3: Cross multiply
    10,513.95x = 14,509.06 × 5,977.44
  4. Step 4: Simplify right side
    10,513.95x = 86,727,005.72
  5. Step 5: Solve for x
    x = 86,727,005.72/10,513.95
  6. Step 6: Final answer
    x = 8,248.76

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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.