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Finding the Fourth Proportional to 10,441.94, 15,666.59 and 4,599.05

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Solution

The fourth proportional to 10,441.94, 15,666.59 and 4,599.05 is: 6,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.94 : 15,666.59 = 4,599.05 : x
  2. Step 2: Convert to fraction form
    10,441.94/15,666.59 = 4,599.05/x
  3. Step 3: Cross multiply
    10,441.94x = 15,666.59 × 4,599.05
  4. Step 4: Simplify right side
    10,441.94x = 72,051,363.90
  5. Step 5: Solve for x
    x = 72,051,363.90/10,441.94
  6. Step 6: Final answer
    x = 6,900.19

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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.