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Finding the Fourth Proportional to 7,442.40, 10,259.28 and 4,643.04

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Solution

The fourth proportional to 7,442.40, 10,259.28 and 4,643.04 is: 6,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.40 : 10,259.28 = 4,643.04 : x
  2. Step 2: Convert to fraction form
    7,442.40/10,259.28 = 4,643.04/x
  3. Step 3: Cross multiply
    7,442.40x = 10,259.28 × 4,643.04
  4. Step 4: Simplify right side
    7,442.40x = 47,634,247.41
  5. Step 5: Solve for x
    x = 47,634,247.41/7,442.40
  6. Step 6: Final answer
    x = 6,400.39

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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.