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Finding the Fourth Proportional to 10,409.01, 14,364.13 and 5,692.99

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Solution

The fourth proportional to 10,409.01, 14,364.13 and 5,692.99 is: 7,856.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.01 : 14,364.13 = 5,692.99 : x
  2. Step 2: Convert to fraction form
    10,409.01/14,364.13 = 5,692.99/x
  3. Step 3: Cross multiply
    10,409.01x = 14,364.13 × 5,692.99
  4. Step 4: Simplify right side
    10,409.01x = 81,774,848.45
  5. Step 5: Solve for x
    x = 81,774,848.45/10,409.01
  6. Step 6: Final answer
    x = 7,856.16

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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.