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Finding the Fourth Proportional to 7,277.60, 10,887.20 and 5,528

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Solution

The fourth proportional to 7,277.60, 10,887.20 and 5,528 is: 8,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.60 : 10,887.20 = 5,528 : x
  2. Step 2: Convert to fraction form
    7,277.60/10,887.20 = 5,528/x
  3. Step 3: Cross multiply
    7,277.60x = 10,887.20 × 5,528
  4. Step 4: Simplify right side
    7,277.60x = 60,184,441.60
  5. Step 5: Solve for x
    x = 60,184,441.60/7,277.60
  6. Step 6: Final answer
    x = 8,269.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.