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Finding the Fourth Proportional to 6,461.10, 8,928.42 and 5,503.50

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Solution

The fourth proportional to 6,461.10, 8,928.42 and 5,503.50 is: 7,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461.10 : 8,928.42 = 5,503.50 : x
  2. Step 2: Convert to fraction form
    6,461.10/8,928.42 = 5,503.50/x
  3. Step 3: Cross multiply
    6,461.10x = 8,928.42 × 5,503.50
  4. Step 4: Simplify right side
    6,461.10x = 49,137,559.47
  5. Step 5: Solve for x
    x = 49,137,559.47/6,461.10
  6. Step 6: Final answer
    x = 7,605.14

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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.