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Finding the Fourth Proportional to 10,765.95, 14,862.05 and 7,186.95

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Solution

The fourth proportional to 10,765.95, 14,862.05 and 7,186.95 is: 9,921.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.95 : 14,862.05 = 7,186.95 : x
  2. Step 2: Convert to fraction form
    10,765.95/14,862.05 = 7,186.95/x
  3. Step 3: Cross multiply
    10,765.95x = 14,862.05 × 7,186.95
  4. Step 4: Simplify right side
    10,765.95x = 106,812,810.25
  5. Step 5: Solve for x
    x = 106,812,810.25/10,765.95
  6. Step 6: Final answer
    x = 9,921.35

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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.