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Finding the Fourth Proportional to 10,005.95, 13,790.83 and 7,312.76

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Solution

The fourth proportional to 10,005.95, 13,790.83 and 7,312.76 is: 10,078.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.95 : 13,790.83 = 7,312.76 : x
  2. Step 2: Convert to fraction form
    10,005.95/13,790.83 = 7,312.76/x
  3. Step 3: Cross multiply
    10,005.95x = 13,790.83 × 7,312.76
  4. Step 4: Simplify right side
    10,005.95x = 100,849,029.99
  5. Step 5: Solve for x
    x = 100,849,029.99/10,005.95
  6. Step 6: Final answer
    x = 10,078.91

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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.