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Finding the Fourth Proportional to 7,543.08, 11,309.14 and 5,071.76

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Solution

The fourth proportional to 7,543.08, 11,309.14 and 5,071.76 is: 7,603.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543.08 : 11,309.14 = 5,071.76 : x
  2. Step 2: Convert to fraction form
    7,543.08/11,309.14 = 5,071.76/x
  3. Step 3: Cross multiply
    7,543.08x = 11,309.14 × 5,071.76
  4. Step 4: Simplify right side
    7,543.08x = 57,357,243.89
  5. Step 5: Solve for x
    x = 57,357,243.89/7,543.08
  6. Step 6: Final answer
    x = 7,603.96

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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.