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Finding the Fourth Proportional to 7,482.86, 10,322.56 and 5,711.40

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Solution

The fourth proportional to 7,482.86, 10,322.56 and 5,711.40 is: 7,878.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,482.86 : 10,322.56 = 5,711.40 : x
  2. Step 2: Convert to fraction form
    7,482.86/10,322.56 = 5,711.40/x
  3. Step 3: Cross multiply
    7,482.86x = 10,322.56 × 5,711.40
  4. Step 4: Simplify right side
    7,482.86x = 58,956,269.18
  5. Step 5: Solve for x
    x = 58,956,269.18/7,482.86
  6. Step 6: Final answer
    x = 7,878.84

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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.