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Finding the Fourth Proportional to 7,384.83, 10,191.08 and 4,733.76

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Solution

The fourth proportional to 7,384.83, 10,191.08 and 4,733.76 is: 6,532.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,384.83 : 10,191.08 = 4,733.76 : x
  2. Step 2: Convert to fraction form
    7,384.83/10,191.08 = 4,733.76/x
  3. Step 3: Cross multiply
    7,384.83x = 10,191.08 × 4,733.76
  4. Step 4: Simplify right side
    7,384.83x = 48,242,126.86
  5. Step 5: Solve for x
    x = 48,242,126.86/7,384.83
  6. Step 6: Final answer
    x = 6,532.60

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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.