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Finding the Fourth Proportional to 11,125.68, 15,354 and 6,410.40

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Solution

The fourth proportional to 11,125.68, 15,354 and 6,410.40 is: 8,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125.68 : 15,354 = 6,410.40 : x
  2. Step 2: Convert to fraction form
    11,125.68/15,354 = 6,410.40/x
  3. Step 3: Cross multiply
    11,125.68x = 15,354 × 6,410.40
  4. Step 4: Simplify right side
    11,125.68x = 98,425,281.60
  5. Step 5: Solve for x
    x = 98,425,281.60/11,125.68
  6. Step 6: Final answer
    x = 8,846.68

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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.