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Finding the Fourth Proportional to 7,447.52, 10,277.19 and 4,303.50

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Solution

The fourth proportional to 7,447.52, 10,277.19 and 4,303.50 is: 5,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447.52 : 10,277.19 = 4,303.50 : x
  2. Step 2: Convert to fraction form
    7,447.52/10,277.19 = 4,303.50/x
  3. Step 3: Cross multiply
    7,447.52x = 10,277.19 × 4,303.50
  4. Step 4: Simplify right side
    7,447.52x = 44,227,887.17
  5. Step 5: Solve for x
    x = 44,227,887.17/7,447.52
  6. Step 6: Final answer
    x = 5,938.61

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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.