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Finding the Fourth Proportional to 7,695.76, 11,545.81 and 2,503.12

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Solution

The fourth proportional to 7,695.76, 11,545.81 and 2,503.12 is: 3,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,695.76 : 11,545.81 = 2,503.12 : x
  2. Step 2: Convert to fraction form
    7,695.76/11,545.81 = 2,503.12/x
  3. Step 3: Cross multiply
    7,695.76x = 11,545.81 × 2,503.12
  4. Step 4: Simplify right side
    7,695.76x = 28,900,547.93
  5. Step 5: Solve for x
    x = 28,900,547.93/7,695.76
  6. Step 6: Final answer
    x = 3,755.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.