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Finding the Fourth Proportional to 7,584.16, 10,467.12 and 6,098.08

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Solution

The fourth proportional to 7,584.16, 10,467.12 and 6,098.08 is: 8,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584.16 : 10,467.12 = 6,098.08 : x
  2. Step 2: Convert to fraction form
    7,584.16/10,467.12 = 6,098.08/x
  3. Step 3: Cross multiply
    7,584.16x = 10,467.12 × 6,098.08
  4. Step 4: Simplify right side
    7,584.16x = 63,829,335.13
  5. Step 5: Solve for x
    x = 63,829,335.13/7,584.16
  6. Step 6: Final answer
    x = 8,416.14

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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.