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Finding the Fourth Proportional to 10,455.75, 14,430.15 and 6,264

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Solution

The fourth proportional to 10,455.75, 14,430.15 and 6,264 is: 8,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.75 : 14,430.15 = 6,264 : x
  2. Step 2: Convert to fraction form
    10,455.75/14,430.15 = 6,264/x
  3. Step 3: Cross multiply
    10,455.75x = 14,430.15 × 6,264
  4. Step 4: Simplify right side
    10,455.75x = 90,390,459.60
  5. Step 5: Solve for x
    x = 90,390,459.60/10,455.75
  6. Step 6: Final answer
    x = 8,645.05

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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.