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Finding the Fourth Proportional to 7,426, 10,247.72 and 4,442.50

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Solution

The fourth proportional to 7,426, 10,247.72 and 4,442.50 is: 6,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426 : 10,247.72 = 4,442.50 : x
  2. Step 2: Convert to fraction form
    7,426/10,247.72 = 4,442.50/x
  3. Step 3: Cross multiply
    7,426x = 10,247.72 × 4,442.50
  4. Step 4: Simplify right side
    7,426x = 45,525,496.10
  5. Step 5: Solve for x
    x = 45,525,496.10/7,426
  6. Step 6: Final answer
    x = 6,130.55

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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.