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Finding the Fourth Proportional to 10,598.60, 15,893.10 and 4,022.60

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Solution

The fourth proportional to 10,598.60, 15,893.10 and 4,022.60 is: 6,032.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.60 : 15,893.10 = 4,022.60 : x
  2. Step 2: Convert to fraction form
    10,598.60/15,893.10 = 4,022.60/x
  3. Step 3: Cross multiply
    10,598.60x = 15,893.10 × 4,022.60
  4. Step 4: Simplify right side
    10,598.60x = 63,931,584.06
  5. Step 5: Solve for x
    x = 63,931,584.06/10,598.60
  6. Step 6: Final answer
    x = 6,032.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.