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Finding the Fourth Proportional to 7,730.61, 11,585.98 and 3,510.78

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Solution

The fourth proportional to 7,730.61, 11,585.98 and 3,510.78 is: 5,261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.61 : 11,585.98 = 3,510.78 : x
  2. Step 2: Convert to fraction form
    7,730.61/11,585.98 = 3,510.78/x
  3. Step 3: Cross multiply
    7,730.61x = 11,585.98 × 3,510.78
  4. Step 4: Simplify right side
    7,730.61x = 40,675,826.86
  5. Step 5: Solve for x
    x = 40,675,826.86/7,730.61
  6. Step 6: Final answer
    x = 5,261.66

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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.