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Finding the Fourth Proportional to 8,281.60, 11,417.42 and 5,624.40

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Solution

The fourth proportional to 8,281.60, 11,417.42 and 5,624.40 is: 7,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.60 : 11,417.42 = 5,624.40 : x
  2. Step 2: Convert to fraction form
    8,281.60/11,417.42 = 5,624.40/x
  3. Step 3: Cross multiply
    8,281.60x = 11,417.42 × 5,624.40
  4. Step 4: Simplify right side
    8,281.60x = 64,216,137.05
  5. Step 5: Solve for x
    x = 64,216,137.05/8,281.60
  6. Step 6: Final answer
    x = 7,754.07

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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.