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Finding the Fourth Proportional to 10,577.28, 14,597.64 and 6,101.76

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Solution

The fourth proportional to 10,577.28, 14,597.64 and 6,101.76 is: 8,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,577.28 : 14,597.64 = 6,101.76 : x
  2. Step 2: Convert to fraction form
    10,577.28/14,597.64 = 6,101.76/x
  3. Step 3: Cross multiply
    10,577.28x = 14,597.64 × 6,101.76
  4. Step 4: Simplify right side
    10,577.28x = 89,071,295.85
  5. Step 5: Solve for x
    x = 89,071,295.85/10,577.28
  6. Step 6: Final answer
    x = 8,421.00

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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.