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Finding the Fourth Proportional to 10,980.52, 16,465.80 and 4,737.60

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Solution

The fourth proportional to 10,980.52, 16,465.80 and 4,737.60 is: 7,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.52 : 16,465.80 = 4,737.60 : x
  2. Step 2: Convert to fraction form
    10,980.52/16,465.80 = 4,737.60/x
  3. Step 3: Cross multiply
    10,980.52x = 16,465.80 × 4,737.60
  4. Step 4: Simplify right side
    10,980.52x = 78,008,374.08
  5. Step 5: Solve for x
    x = 78,008,374.08/10,980.52
  6. Step 6: Final answer
    x = 7,104.25

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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.