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Finding the Fourth Proportional to 10,736.66, 14,820.62 and 6,261.81

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Solution

The fourth proportional to 10,736.66, 14,820.62 and 6,261.81 is: 8,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,736.66 : 14,820.62 = 6,261.81 : x
  2. Step 2: Convert to fraction form
    10,736.66/14,820.62 = 6,261.81/x
  3. Step 3: Cross multiply
    10,736.66x = 14,820.62 × 6,261.81
  4. Step 4: Simplify right side
    10,736.66x = 92,803,875.21
  5. Step 5: Solve for x
    x = 92,803,875.21/10,736.66
  6. Step 6: Final answer
    x = 8,643.65

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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.