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Finding the Fourth Proportional to 8,437, 11,643.06 and 4,711

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Solution

The fourth proportional to 8,437, 11,643.06 and 4,711 is: 6,501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,437 : 11,643.06 = 4,711 : x
  2. Step 2: Convert to fraction form
    8,437/11,643.06 = 4,711/x
  3. Step 3: Cross multiply
    8,437x = 11,643.06 × 4,711
  4. Step 4: Simplify right side
    8,437x = 54,850,455.66
  5. Step 5: Solve for x
    x = 54,850,455.66/8,437
  6. Step 6: Final answer
    x = 6,501.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.