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Finding the Fourth Proportional to 7,124.08, 9,830.76 and 3,980.16

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Solution

The fourth proportional to 7,124.08, 9,830.76 and 3,980.16 is: 5,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,124.08 : 9,830.76 = 3,980.16 : x
  2. Step 2: Convert to fraction form
    7,124.08/9,830.76 = 3,980.16/x
  3. Step 3: Cross multiply
    7,124.08x = 9,830.76 × 3,980.16
  4. Step 4: Simplify right side
    7,124.08x = 39,127,997.72
  5. Step 5: Solve for x
    x = 39,127,997.72/7,124.08
  6. Step 6: Final answer
    x = 5,492.36

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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.