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Finding the Fourth Proportional to 8,386, 11,582.40 and 5,586.64

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Solution

The fourth proportional to 8,386, 11,582.40 and 5,586.64 is: 7,716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386 : 11,582.40 = 5,586.64 : x
  2. Step 2: Convert to fraction form
    8,386/11,582.40 = 5,586.64/x
  3. Step 3: Cross multiply
    8,386x = 11,582.40 × 5,586.64
  4. Step 4: Simplify right side
    8,386x = 64,706,699.14
  5. Step 5: Solve for x
    x = 64,706,699.14/8,386
  6. Step 6: Final answer
    x = 7,716.04

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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.