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Finding the Fourth Proportional to 10,643.63, 14,686.40 and 5,927

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Solution

The fourth proportional to 10,643.63, 14,686.40 and 5,927 is: 8,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.63 : 14,686.40 = 5,927 : x
  2. Step 2: Convert to fraction form
    10,643.63/14,686.40 = 5,927/x
  3. Step 3: Cross multiply
    10,643.63x = 14,686.40 × 5,927
  4. Step 4: Simplify right side
    10,643.63x = 87,046,263.17
  5. Step 5: Solve for x
    x = 87,046,263.17/10,643.63
  6. Step 6: Final answer
    x = 8,178.25

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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.