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Finding the Fourth Proportional to 7,574.90, 11,363.56 and 4,656.47

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Solution

The fourth proportional to 7,574.90, 11,363.56 and 4,656.47 is: 6,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.90 : 11,363.56 = 4,656.47 : x
  2. Step 2: Convert to fraction form
    7,574.90/11,363.56 = 4,656.47/x
  3. Step 3: Cross multiply
    7,574.90x = 11,363.56 × 4,656.47
  4. Step 4: Simplify right side
    7,574.90x = 52,914,007.77
  5. Step 5: Solve for x
    x = 52,914,007.77/7,574.90
  6. Step 6: Final answer
    x = 6,985.44

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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.