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Finding the Fourth Proportional to 7,875.64, 11,780.58 and 5,535.48

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Solution

The fourth proportional to 7,875.64, 11,780.58 and 5,535.48 is: 8,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.64 : 11,780.58 = 5,535.48 : x
  2. Step 2: Convert to fraction form
    7,875.64/11,780.58 = 5,535.48/x
  3. Step 3: Cross multiply
    7,875.64x = 11,780.58 × 5,535.48
  4. Step 4: Simplify right side
    7,875.64x = 65,211,164.98
  5. Step 5: Solve for x
    x = 65,211,164.98/7,875.64
  6. Step 6: Final answer
    x = 8,280.11

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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.