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Finding the Fourth Proportional to 7,411.61, 11,117.43 and 3,029.06

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Solution

The fourth proportional to 7,411.61, 11,117.43 and 3,029.06 is: 4,543.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.61 : 11,117.43 = 3,029.06 : x
  2. Step 2: Convert to fraction form
    7,411.61/11,117.43 = 3,029.06/x
  3. Step 3: Cross multiply
    7,411.61x = 11,117.43 × 3,029.06
  4. Step 4: Simplify right side
    7,411.61x = 33,675,362.52
  5. Step 5: Solve for x
    x = 33,675,362.52/7,411.61
  6. Step 6: Final answer
    x = 4,543.60

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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.