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Finding the Fourth Proportional to 7,133.06, 10,695.76 and 3,971.50

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Solution

The fourth proportional to 7,133.06, 10,695.76 and 3,971.50 is: 5,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.06 : 10,695.76 = 3,971.50 : x
  2. Step 2: Convert to fraction form
    7,133.06/10,695.76 = 3,971.50/x
  3. Step 3: Cross multiply
    7,133.06x = 10,695.76 × 3,971.50
  4. Step 4: Simplify right side
    7,133.06x = 42,478,210.84
  5. Step 5: Solve for x
    x = 42,478,210.84/7,133.06
  6. Step 6: Final answer
    x = 5,955.12

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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.