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Finding the Fourth Proportional to 7,447.01, 10,276.27 and 4,303.40

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Solution

The fourth proportional to 7,447.01, 10,276.27 and 4,303.40 is: 5,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.01 : 10,276.27 = 4,303.40 : x
  2. Step 2: Convert to fraction form
    7,447.01/10,276.27 = 4,303.40/x
  3. Step 3: Cross multiply
    7,447.01x = 10,276.27 × 4,303.40
  4. Step 4: Simplify right side
    7,447.01x = 44,222,838.18
  5. Step 5: Solve for x
    x = 44,222,838.18/7,447.01
  6. Step 6: Final answer
    x = 5,938.34

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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.