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Finding the Fourth Proportional to 10,598.22, 15,894.90 and 4,756.50

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Solution

The fourth proportional to 10,598.22, 15,894.90 and 4,756.50 is: 7,133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,598.22 : 15,894.90 = 4,756.50 : x
  2. Step 2: Convert to fraction form
    10,598.22/15,894.90 = 4,756.50/x
  3. Step 3: Cross multiply
    10,598.22x = 15,894.90 × 4,756.50
  4. Step 4: Simplify right side
    10,598.22x = 75,604,091.85
  5. Step 5: Solve for x
    x = 75,604,091.85/10,598.22
  6. Step 6: Final answer
    x = 7,133.66

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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.