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Finding the Fourth Proportional to 10,875, 16,316.16 and 4,634.76

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Solution

The fourth proportional to 10,875, 16,316.16 and 4,634.76 is: 6,953.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,875 : 16,316.16 = 4,634.76 : x
  2. Step 2: Convert to fraction form
    10,875/16,316.16 = 4,634.76/x
  3. Step 3: Cross multiply
    10,875x = 16,316.16 × 4,634.76
  4. Step 4: Simplify right side
    10,875x = 75,621,485.72
  5. Step 5: Solve for x
    x = 75,621,485.72/10,875
  6. Step 6: Final answer
    x = 6,953.70

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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.