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Finding the Fourth Proportional to 7,643.16, 10,548 and 4,287.05

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Solution

The fourth proportional to 7,643.16, 10,548 and 4,287.05 is: 5,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.16 : 10,548 = 4,287.05 : x
  2. Step 2: Convert to fraction form
    7,643.16/10,548 = 4,287.05/x
  3. Step 3: Cross multiply
    7,643.16x = 10,548 × 4,287.05
  4. Step 4: Simplify right side
    7,643.16x = 45,219,803.40
  5. Step 5: Solve for x
    x = 45,219,803.40/7,643.16
  6. Step 6: Final answer
    x = 5,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.