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Finding the Fourth Proportional to 10,636.95, 14,677.71 and 6,160.08

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Solution

The fourth proportional to 10,636.95, 14,677.71 and 6,160.08 is: 8,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.95 : 14,677.71 = 6,160.08 : x
  2. Step 2: Convert to fraction form
    10,636.95/14,677.71 = 6,160.08/x
  3. Step 3: Cross multiply
    10,636.95x = 14,677.71 × 6,160.08
  4. Step 4: Simplify right side
    10,636.95x = 90,415,867.82
  5. Step 5: Solve for x
    x = 90,415,867.82/10,636.95
  6. Step 6: Final answer
    x = 8,500.17

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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.