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Finding the Fourth Proportional to 10,330.84, 15,482.34 and 5,643.81

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Solution

The fourth proportional to 10,330.84, 15,482.34 and 5,643.81 is: 8,458.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,330.84 : 15,482.34 = 5,643.81 : x
  2. Step 2: Convert to fraction form
    10,330.84/15,482.34 = 5,643.81/x
  3. Step 3: Cross multiply
    10,330.84x = 15,482.34 × 5,643.81
  4. Step 4: Simplify right side
    10,330.84x = 87,379,385.32
  5. Step 5: Solve for x
    x = 87,379,385.32/10,330.84
  6. Step 6: Final answer
    x = 8,458.11

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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.