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Finding the Fourth Proportional to 10,692.51, 16,038.76 and 4,767.87

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Solution

The fourth proportional to 10,692.51, 16,038.76 and 4,767.87 is: 7,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.51 : 16,038.76 = 4,767.87 : x
  2. Step 2: Convert to fraction form
    10,692.51/16,038.76 = 4,767.87/x
  3. Step 3: Cross multiply
    10,692.51x = 16,038.76 × 4,767.87
  4. Step 4: Simplify right side
    10,692.51x = 76,470,710.72
  5. Step 5: Solve for x
    x = 76,470,710.72/10,692.51
  6. Step 6: Final answer
    x = 7,151.80

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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.