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Finding the Fourth Proportional to 10,776.54, 14,865.18 and 6,577.50

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Solution

The fourth proportional to 10,776.54, 14,865.18 and 6,577.50 is: 9,073.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.54 : 14,865.18 = 6,577.50 : x
  2. Step 2: Convert to fraction form
    10,776.54/14,865.18 = 6,577.50/x
  3. Step 3: Cross multiply
    10,776.54x = 14,865.18 × 6,577.50
  4. Step 4: Simplify right side
    10,776.54x = 97,775,721.45
  5. Step 5: Solve for x
    x = 97,775,721.45/10,776.54
  6. Step 6: Final answer
    x = 9,073.02

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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.