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Finding the Fourth Proportional to 8,405.58, 11,598.42 and 4,868.16

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Solution

The fourth proportional to 8,405.58, 11,598.42 and 4,868.16 is: 6,717.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.58 : 11,598.42 = 4,868.16 : x
  2. Step 2: Convert to fraction form
    8,405.58/11,598.42 = 4,868.16/x
  3. Step 3: Cross multiply
    8,405.58x = 11,598.42 × 4,868.16
  4. Step 4: Simplify right side
    8,405.58x = 56,462,964.31
  5. Step 5: Solve for x
    x = 56,462,964.31/8,405.58
  6. Step 6: Final answer
    x = 6,717.32

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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.