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Finding the Fourth Proportional to 10,805.95, 14,878.28 and 9,187.68

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Solution

The fourth proportional to 10,805.95, 14,878.28 and 9,187.68 is: 12,650.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,805.95 : 14,878.28 = 9,187.68 : x
  2. Step 2: Convert to fraction form
    10,805.95/14,878.28 = 9,187.68/x
  3. Step 3: Cross multiply
    10,805.95x = 14,878.28 × 9,187.68
  4. Step 4: Simplify right side
    10,805.95x = 136,696,875.59
  5. Step 5: Solve for x
    x = 136,696,875.59/10,805.95
  6. Step 6: Final answer
    x = 12,650.15

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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.