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Finding the Fourth Proportional to 7,844.42, 10,820.58 and 5,012.40

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Solution

The fourth proportional to 7,844.42, 10,820.58 and 5,012.40 is: 6,914.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.42 : 10,820.58 = 5,012.40 : x
  2. Step 2: Convert to fraction form
    7,844.42/10,820.58 = 5,012.40/x
  3. Step 3: Cross multiply
    7,844.42x = 10,820.58 × 5,012.40
  4. Step 4: Simplify right side
    7,844.42x = 54,237,075.19
  5. Step 5: Solve for x
    x = 54,237,075.19/7,844.42
  6. Step 6: Final answer
    x = 6,914.10

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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.