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Finding the Fourth Proportional to 7,580.94, 11,374.65 and 4,289.10

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Solution

The fourth proportional to 7,580.94, 11,374.65 and 4,289.10 is: 6,435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.94 : 11,374.65 = 4,289.10 : x
  2. Step 2: Convert to fraction form
    7,580.94/11,374.65 = 4,289.10/x
  3. Step 3: Cross multiply
    7,580.94x = 11,374.65 × 4,289.10
  4. Step 4: Simplify right side
    7,580.94x = 48,787,011.32
  5. Step 5: Solve for x
    x = 48,787,011.32/7,580.94
  6. Step 6: Final answer
    x = 6,435.48

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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.