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Finding the Fourth Proportional to 10,024.95, 13,833.93 and 6,482.01

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Solution

The fourth proportional to 10,024.95, 13,833.93 and 6,482.01 is: 8,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.95 : 13,833.93 = 6,482.01 : x
  2. Step 2: Convert to fraction form
    10,024.95/13,833.93 = 6,482.01/x
  3. Step 3: Cross multiply
    10,024.95x = 13,833.93 × 6,482.01
  4. Step 4: Simplify right side
    10,024.95x = 89,671,672.60
  5. Step 5: Solve for x
    x = 89,671,672.60/10,024.95
  6. Step 6: Final answer
    x = 8,944.85

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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.