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Finding the Fourth Proportional to 10,492.25, 15,740.54 and 4,336.25

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Solution

The fourth proportional to 10,492.25, 15,740.54 and 4,336.25 is: 6,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.25 : 15,740.54 = 4,336.25 : x
  2. Step 2: Convert to fraction form
    10,492.25/15,740.54 = 4,336.25/x
  3. Step 3: Cross multiply
    10,492.25x = 15,740.54 × 4,336.25
  4. Step 4: Simplify right side
    10,492.25x = 68,254,894.89
  5. Step 5: Solve for x
    x = 68,254,894.89/10,492.25
  6. Step 6: Final answer
    x = 6,505.27

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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.