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Finding the Fourth Proportional to 8,395.53, 11,585.68 and 5,742.85

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Solution

The fourth proportional to 8,395.53, 11,585.68 and 5,742.85 is: 7,925.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.53 : 11,585.68 = 5,742.85 : x
  2. Step 2: Convert to fraction form
    8,395.53/11,585.68 = 5,742.85/x
  3. Step 3: Cross multiply
    8,395.53x = 11,585.68 × 5,742.85
  4. Step 4: Simplify right side
    8,395.53x = 66,534,779.07
  5. Step 5: Solve for x
    x = 66,534,779.07/8,395.53
  6. Step 6: Final answer
    x = 7,925.02

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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.