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Finding the Fourth Proportional to 10,435.35, 15,658.17 and 4,887.74

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Solution

The fourth proportional to 10,435.35, 15,658.17 and 4,887.74 is: 7,334.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.35 : 15,658.17 = 4,887.74 : x
  2. Step 2: Convert to fraction form
    10,435.35/15,658.17 = 4,887.74/x
  3. Step 3: Cross multiply
    10,435.35x = 15,658.17 × 4,887.74
  4. Step 4: Simplify right side
    10,435.35x = 76,533,025.93
  5. Step 5: Solve for x
    x = 76,533,025.93/10,435.35
  6. Step 6: Final answer
    x = 7,334.01

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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.