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Finding the Fourth Proportional to 10,482.44, 15,729.07 and 4,643.18

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Solution

The fourth proportional to 10,482.44, 15,729.07 and 4,643.18 is: 6,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,482.44 : 15,729.07 = 4,643.18 : x
  2. Step 2: Convert to fraction form
    10,482.44/15,729.07 = 4,643.18/x
  3. Step 3: Cross multiply
    10,482.44x = 15,729.07 × 4,643.18
  4. Step 4: Simplify right side
    10,482.44x = 73,032,903.24
  5. Step 5: Solve for x
    x = 73,032,903.24/10,482.44
  6. Step 6: Final answer
    x = 6,967.17

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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.