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Finding the Fourth Proportional to 8,237.47, 11,366.86 and 4,700

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Solution

The fourth proportional to 8,237.47, 11,366.86 and 4,700 is: 6,485.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.47 : 11,366.86 = 4,700 : x
  2. Step 2: Convert to fraction form
    8,237.47/11,366.86 = 4,700/x
  3. Step 3: Cross multiply
    8,237.47x = 11,366.86 × 4,700
  4. Step 4: Simplify right side
    8,237.47x = 53,424,242
  5. Step 5: Solve for x
    x = 53,424,242/8,237.47
  6. Step 6: Final answer
    x = 6,485.52

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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.